Atkin-Lehner |
2- 3+ 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
98490bd |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
18259652055758400 = 26 · 32 · 52 · 710 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-133771,-17729671] |
[a1,a2,a3,a4,a6] |
Generators |
[-251:460:1] |
Generators of the group modulo torsion |
j |
2250202463701921/155204481600 |
j-invariant |
L |
6.0011856262865 |
L(r)(E,1)/r! |
Ω |
0.25072081655786 |
Real period |
R |
1.9946441133028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027213 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14070l2 |
Quadratic twists by: -7 |