Atkin-Lehner |
3+ 7- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98049c |
Isogeny class |
Conductor |
98049 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
6765381 = 32 · 72 · 232 · 29 |
Discriminant |
Eigenvalues |
0 3+ -1 7- 0 -3 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-51,83] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:65:8] [-1:11:1] |
Generators of the group modulo torsion |
j |
305299456/138069 |
j-invariant |
L |
7.3909490518593 |
L(r)(E,1)/r! |
Ω |
2.1245161046081 |
Real period |
R |
0.86972146697474 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98049l1 |
Quadratic twists by: -7 |