Atkin-Lehner |
2- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90650bu |
Isogeny class |
Conductor |
90650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
85319054800 = 24 · 52 · 78 · 37 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -4 -4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2108,-35379] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:63:1] [582:3309:8] |
Generators of the group modulo torsion |
j |
7188265/592 |
j-invariant |
L |
12.896718042894 |
L(r)(E,1)/r! |
Ω |
0.70826926809433 |
Real period |
R |
1.5173981873801 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90650w1 90650cc1 |
Quadratic twists by: 5 -7 |