Atkin-Lehner |
2+ 3- 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
97704c |
Isogeny class |
Conductor |
97704 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
27836344832256 = 28 · 310 · 232 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7959,-101270] |
[a1,a2,a3,a4,a6] |
Generators |
[540397:10614240:1331] |
Generators of the group modulo torsion |
j |
298766385232/149157369 |
j-invariant |
L |
9.7041805255734 |
L(r)(E,1)/r! |
Ω |
0.53232531426444 |
Real period |
R |
9.1148967001164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025575 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32568h2 |
Quadratic twists by: -3 |