Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020cj |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-832102905942000 = -1 · 24 · 38 · 53 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 7 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13377,1510229] |
[a1,a2,a3,a4,a6] |
Generators |
[148:1665:1] |
Generators of the group modulo torsion |
j |
-3937024/12375 |
j-invariant |
L |
8.4690287387504 |
L(r)(E,1)/r! |
Ω |
0.44048949556671 |
Real period |
R |
3.2044005623642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017586 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32340a1 97020cc1 |
Quadratic twists by: -3 -7 |