Atkin-Lehner |
2- 3+ 11+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
97614ba |
Isogeny class |
Conductor |
97614 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1916928 |
Modular degree for the optimal curve |
Δ |
417294938575798272 = 216 · 39 · 113 · 172 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11+ 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1136621,-465093035] |
[a1,a2,a3,a4,a6] |
Generators |
[-625:1240:1] |
Generators of the group modulo torsion |
j |
8250477582829051179/21200779280384 |
j-invariant |
L |
6.5953232239389 |
L(r)(E,1)/r! |
Ω |
0.14623884006621 |
Real period |
R |
1.4093646409464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020658 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97614b1 |
Quadratic twists by: -3 |