Atkin-Lehner |
2- 3+ 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
98490bh |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
66742560057600 = 28 · 33 · 52 · 78 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -4 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-89181,-10280397] |
[a1,a2,a3,a4,a6] |
j |
666734287826881/567302400 |
j-invariant |
L |
2.2102613208217 |
L(r)(E,1)/r! |
Ω |
0.27628265984591 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070m1 |
Quadratic twists by: -7 |