Atkin-Lehner |
3+ 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
93795f |
Isogeny class |
Conductor |
93795 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1257984 |
Modular degree for the optimal curve |
Δ |
146990291371574625 = 34 · 53 · 139 · 372 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 -2 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-490526,-131144902] |
[a1,a2,a3,a4,a6] |
j |
1230891271813/13861125 |
j-invariant |
L |
0.36104358354022 |
L(r)(E,1)/r! |
Ω |
0.18052177418209 |
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 |
93795m1 |
Quadratic twists by: 13 |