Atkin-Lehner |
2- 3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
35190bj |
Isogeny class |
Conductor |
35190 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
57446400 |
Modular degree for the optimal curve |
Δ |
-1.4539758428051E+30 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,994751797,56743535002331] |
[a1,a2,a3,a4,a6] |
j |
149327701830509856553358737559/1994479894108569600000000000 |
j-invariant |
L |
3.1882447906207 |
L(r)(E,1)/r! |
Ω |
0.019926529941367 |
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 |
11730f1 |
Quadratic twists by: -3 |