Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40425dg |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
2534400 |
Modular degree for the optimal curve |
Δ |
6714516449458125 = 34 · 54 · 77 · 115 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 11- -1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-42618158,107073627119] |
[a1,a2,a3,a4,a6] |
Generators |
[30074:-8089:8] |
Generators of the group modulo torsion |
j |
116423188793017446400/91315917 |
j-invariant |
L |
14.129940740349 |
L(r)(E,1)/r! |
Ω |
0.26213148420593 |
Real period |
R |
0.44920016581105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275ge1 40425z2 5775l1 |
Quadratic twists by: -3 5 -7 |