Atkin-Lehner |
2- 3+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650ct |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
102 |
Product of Tamagawa factors cp |
deg |
1272960 |
Modular degree for the optimal curve |
Δ |
-218686003200000000 = -1 · 217 · 39 · 58 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-132680,-29160053] |
[a1,a2,a3,a4,a6] |
Generators |
[1069:31865:1] |
Generators of the group modulo torsion |
j |
-33595855515/28442624 |
j-invariant |
L |
11.457757219063 |
L(r)(E,1)/r! |
Ω |
0.12076132862318 |
Real period |
R |
0.93018977434688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009459 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97650m1 97650e1 |
Quadratic twists by: -3 5 |