Atkin-Lehner |
2+ 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550bj |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2280960 |
Modular degree for the optimal curve |
Δ |
-184385742187500000 = -1 · 25 · 36 · 515 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-630567,-193674659] |
[a1,a2,a3,a4,a6] |
j |
-2434278488702761/16187500000 |
j-invariant |
L |
0.67741419337122 |
L(r)(E,1)/r! |
Ω |
0.084676746549017 |
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 |
12950l1 23310bo1 |
Quadratic twists by: -3 5 |