Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650el |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
173784897562500 = 22 · 310 · 56 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13955,-13953] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:696:1] |
Generators of the group modulo torsion |
j |
26383748833/15256836 |
j-invariant |
L |
9.6863089032025 |
L(r)(E,1)/r! |
Ω |
0.48076963141519 |
Real period |
R |
2.5184382141326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007845 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32550o2 3906i2 |
Quadratic twists by: -3 5 |