Atkin-Lehner |
3- 7+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98049l |
Isogeny class |
Conductor |
98049 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
795940309269 = 32 · 78 · 232 · 29 |
Discriminant |
Eigenvalues |
0 3- 1 7+ 0 3 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2515,-23537] |
[a1,a2,a3,a4,a6] |
j |
305299456/138069 |
j-invariant |
L |
2.8137279888642 |
L(r)(E,1)/r! |
Ω |
0.70343201203561 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98049c1 |
Quadratic twists by: -7 |