Atkin-Lehner |
3+ 5- 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
25185b |
Isogeny class |
Conductor |
25185 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5230080 |
Modular degree for the optimal curve |
Δ |
-4.2646628696153E+25 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 -4 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,66967080,232895275632] |
[a1,a2,a3,a4,a6] |
j |
33212976597287600681738286719/42646628696153411865234375 |
j-invariant |
L |
0.34534159861947 |
L(r)(E,1)/r! |
Ω |
0.043167699827429 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75555c1 125925w1 |
Quadratic twists by: -3 5 |