Atkin-Lehner |
3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425bg |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
130032 |
Modular degree for the optimal curve |
Δ |
-704952293285625 = -1 · 3 · 54 · 710 · 113 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 11+ 0 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1250,1277025] |
[a1,a2,a3,a4,a6] |
Generators |
[120:1635:1] |
Generators of the group modulo torsion |
j |
-1225/3993 |
j-invariant |
L |
5.2619271953873 |
L(r)(E,1)/r! |
Ω |
0.40822979016738 |
Real period |
R |
4.2965402673728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275gn1 40425ch1 40425cu1 |
Quadratic twists by: -3 5 -7 |