Atkin-Lehner |
5- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
97405k |
Isogeny class |
Conductor |
97405 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-782757364601240875 = -1 · 53 · 74 · 118 · 233 |
Discriminant |
Eigenvalues |
0 -2 5- 7- 11- -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,228045,7492359] |
[a1,a2,a3,a4,a6] |
Generators |
[621:19722:1] |
Generators of the group modulo torsion |
j |
6118458097664/3651620875 |
j-invariant |
L |
3.5990259518544 |
L(r)(E,1)/r! |
Ω |
0.17324233787023 |
Real period |
R |
1.7312097772277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005684 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
97405h1 |
Quadratic twists by: -11 |