Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
97020i |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-59411167200000 = -1 · 28 · 39 · 55 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -6 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9072,164052] |
[a1,a2,a3,a4,a6] |
Generators |
[357:6993:1] |
Generators of the group modulo torsion |
j |
47775744/34375 |
j-invariant |
L |
5.3962024965446 |
L(r)(E,1)/r! |
Ω |
0.39707102908352 |
Real period |
R |
3.3975045392684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003061 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97020bb1 97020u1 |
Quadratic twists by: -3 -7 |