Atkin-Lehner |
2- 7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
61712m |
Isogeny class |
Conductor |
61712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-134474891264 = -1 · 218 · 72 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3 -1 7- 5 -5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1157,-9046] |
[a1,a2,a3,a4,a6] |
j |
41818056111/32830784 |
j-invariant |
L |
4.6205469861667 |
L(r)(E,1)/r! |
Ω |
0.57756837296994 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7714d1 |
Quadratic twists by: -4 |