Atkin-Lehner |
3- 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
30195h |
Isogeny class |
Conductor |
30195 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
126976 |
Modular degree for the optimal curve |
Δ |
-13160431873524375 = -1 · 322 · 54 · 11 · 61 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,58950,-353889] |
[a1,a2,a3,a4,a6] |
j |
31077313442863199/18052718619375 |
j-invariant |
L |
1.8878833582897 |
L(r)(E,1)/r! |
Ω |
0.23598541978651 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10065l1 |
Quadratic twists by: -3 |