Atkin-Lehner |
2- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
88412c |
Isogeny class |
Conductor |
88412 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
182700 |
Modular degree for the optimal curve |
Δ |
-326601354608 = -1 · 24 · 23 · 316 |
Discriminant |
Eigenvalues |
2- 3 -2 -4 -2 5 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-961,-29791] |
[a1,a2,a3,a4,a6] |
Generators |
[6195:92861:27] |
Generators of the group modulo torsion |
j |
-6912/23 |
j-invariant |
L |
8.5955869471515 |
L(r)(E,1)/r! |
Ω |
0.39451796214406 |
Real period |
R |
7.2625226815549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92b1 |
Quadratic twists by: -31 |