Atkin-Lehner |
2+ 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
117312u |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
10032574795776 = 212 · 38 · 132 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10377,373815] |
[a1,a2,a3,a4,a6] |
j |
30173178731968/2449359081 |
j-invariant |
L |
5.6633037851526 |
L(r)(E,1)/r! |
Ω |
0.70791296659885 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117312e2 58656f1 |
Quadratic twists by: -4 8 |