Atkin-Lehner |
3+ 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
107085c |
Isogeny class |
Conductor |
107085 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
188586610173225 = 38 · 52 · 117 · 59 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 11- -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17971,-658096] |
[a1,a2,a3,a4,a6] |
j |
362314607689/106452225 |
j-invariant |
L |
0.84328880954813 |
L(r)(E,1)/r! |
Ω |
0.4216442388537 |
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 |
9735a1 |
Quadratic twists by: -11 |