Atkin-Lehner |
3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425s |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5031936 |
Modular degree for the optimal curve |
Δ |
-1.3274969961956E+23 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 11+ -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,10159742,-12329342082] |
[a1,a2,a3,a4,a6] |
j |
63090423356788736/72214645051395 |
j-invariant |
L |
0.44764989387754 |
L(r)(E,1)/r! |
Ω |
0.055956236741602 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275er1 8085x1 5775t1 |
Quadratic twists by: -3 5 -7 |