Atkin-Lehner |
2+ 3+ 23- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
98256b |
Isogeny class |
Conductor |
98256 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
395520 |
Modular degree for the optimal curve |
Δ |
855237366134784 = 211 · 36 · 235 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -2 -2 -5 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25480,694864] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:1058:1] [-35:1242:1] |
Generators of the group modulo torsion |
j |
893324150868242/417596370183 |
j-invariant |
L |
9.3351539455585 |
L(r)(E,1)/r! |
Ω |
0.44711033747853 |
Real period |
R |
1.0439429782237 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49128d1 |
Quadratic twists by: -4 |