Atkin-Lehner |
3+ 7- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
98637c |
Isogeny class |
Conductor |
98637 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
-16719212549396511 = -1 · 36 · 710 · 113 · 61 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 11+ -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,61274,-2124065] |
[a1,a2,a3,a4,a6] |
j |
216248495232167/142110961839 |
j-invariant |
L |
0.44535043473142 |
L(r)(E,1)/r! |
Ω |
0.22267515808763 |
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 |
14091a1 |
Quadratic twists by: -7 |