Atkin-Lehner |
3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425bc |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
3.933324433172E+19 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 11+ 1 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-16842933,26609604293] |
[a1,a2,a3,a4,a6] |
Generators |
[2007:29767:1] |
Generators of the group modulo torsion |
j |
7186354610687180800/534923296677 |
j-invariant |
L |
2.9747125817687 |
L(r)(E,1)/r! |
Ω |
0.19467596541807 |
Real period |
R |
1.2733606565906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275gg1 40425bx1 5775w1 |
Quadratic twists by: -3 5 -7 |