Atkin-Lehner |
2- 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550em |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-15718515750000 = -1 · 24 · 38 · 56 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10805,475197] |
[a1,a2,a3,a4,a6] |
j |
-12246522625/1379952 |
j-invariant |
L |
5.4324800609997 |
L(r)(E,1)/r! |
Ω |
0.67905999908708 |
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 |
38850g1 4662f1 |
Quadratic twists by: -3 5 |