Atkin-Lehner |
2+ 3+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
97128b |
Isogeny class |
Conductor |
97128 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
86275688087808 = 28 · 33 · 195 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 0 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39617655,-95980114166] |
[a1,a2,a3,a4,a6] |
Generators |
[332805:30647456:27] |
Generators of the group modulo torsion |
j |
994915690075955460582000/12482015059 |
j-invariant |
L |
4.6026631405342 |
L(r)(E,1)/r! |
Ω |
0.060176560779523 |
Real period |
R |
7.6485978425246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97128g2 |
Quadratic twists by: -3 |