Atkin-Lehner |
2+ 3- 5- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97110bd |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
458752 |
Modular degree for the optimal curve |
Δ |
-356956962277500 = -1 · 22 · 313 · 54 · 13 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7119,-936167] |
[a1,a2,a3,a4,a6] |
Generators |
[152:1139:1] [212:2549:1] |
Generators of the group modulo torsion |
j |
-54737817524209/489652897500 |
j-invariant |
L |
9.0003283883615 |
L(r)(E,1)/r! |
Ω |
0.22756296598649 |
Real period |
R |
2.4719335234475 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999208 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32370w1 |
Quadratic twists by: -3 |