Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550gm |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-3211817700 = -1 · 22 · 3 · 52 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 13+ -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,342,1371] |
[a1,a2,a3,a4,a6] |
Generators |
[41:273:1] |
Generators of the group modulo torsion |
j |
1503815/1092 |
j-invariant |
L |
8.5701843380364 |
L(r)(E,1)/r! |
Ω |
0.90162657194855 |
Real period |
R |
1.1881560221521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009909 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550fo1 13650co1 |
Quadratic twists by: 5 -7 |