Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
97020cq |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
34836480 |
Modular degree for the optimal curve |
Δ |
-3.8062606255109E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 6 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-866214552,9817138886996] |
[a1,a2,a3,a4,a6] |
Generators |
[20797:893025:1] |
Generators of the group modulo torsion |
j |
-3273741656681120014336/1733575611796875 |
j-invariant |
L |
7.5948007674249 |
L(r)(E,1)/r! |
Ω |
0.064005458745022 |
Real period |
R |
1.059452155017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999907766 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32340f1 13860j1 |
Quadratic twists by: -3 -7 |