Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425cg |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1050982414453125 = 33 · 58 · 77 · 112 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3735270026,87867764877323] |
[a1,a2,a3,a4,a6] |
Generators |
[77522679:-38799188:2197] |
Generators of the group modulo torsion |
j |
3135316978843283198764801/571725 |
j-invariant |
L |
7.8293869588441 |
L(r)(E,1)/r! |
Ω |
0.13261830422847 |
Real period |
R |
2.4598750415063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121275en6 8085g5 5775c5 |
Quadratic twists by: -3 5 -7 |