Atkin-Lehner |
3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425f |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10644480 |
Modular degree for the optimal curve |
Δ |
1.4225211195625E+24 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7+ 11+ -3 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-104720758,-408428651457] |
[a1,a2,a3,a4,a6] |
Generators |
[-359650345414665268518074230475385517086770565480474368875683042:-2857699016930074010197112579557860886414052835305282003423802357:64640207645464176340360588667826445181390182464895083850264] |
Generators of the group modulo torsion |
j |
1409995418369929216/15792626953125 |
j-invariant |
L |
9.1598903634958 |
L(r)(E,1)/r! |
Ω |
0.047226450985965 |
Real period |
R |
96.978389993967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275cv1 8085t1 40425cl1 |
Quadratic twists by: -3 5 -7 |