Atkin-Lehner |
3- 5- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31635h |
Isogeny class |
Conductor |
31635 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
66816 |
Modular degree for the optimal curve |
Δ |
-674353456515 = -1 · 312 · 5 · 193 · 37 |
Discriminant |
Eigenvalues |
2 3- 5- 4 3 4 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-417,39645] |
[a1,a2,a3,a4,a6] |
j |
-11000295424/925039035 |
j-invariant |
L |
8.9672856119853 |
L(r)(E,1)/r! |
Ω |
0.74727380099875 |
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 |
10545e1 |
Quadratic twists by: -3 |