Atkin-Lehner |
2+ 3+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
88806f |
Isogeny class |
Conductor |
88806 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
-389093529382944768 = -1 · 217 · 34 · 197 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 -1 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-253790,-57745932] |
[a1,a2,a3,a4,a6] |
Generators |
[663:7791:1] |
Generators of the group modulo torsion |
j |
-38426275968625/8270512128 |
j-invariant |
L |
2.6844123542074 |
L(r)(E,1)/r! |
Ω |
0.10514291216965 |
Real period |
R |
3.191385298315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000464 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4674g1 |
Quadratic twists by: -19 |