Atkin-Lehner |
7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
51667i |
Isogeny class |
Conductor |
51667 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
42840 |
Modular degree for the optimal curve |
Δ |
37066370803 = 73 · 116 · 61 |
Discriminant |
Eigenvalues |
1 1 0 7- 11- -4 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3391,75139] |
[a1,a2,a3,a4,a6] |
j |
2433138625/20923 |
j-invariant |
L |
3.4841891913728 |
L(r)(E,1)/r! |
Ω |
1.1613963978702 |
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 |
427c1 |
Quadratic twists by: -11 |