Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210y |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
-6228480458696130 = -1 · 2 · 38 · 5 · 377 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 1 -2 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,18225,3672535] |
[a1,a2,a3,a4,a6] |
j |
357911/3330 |
j-invariant |
L |
1.2437684115855 |
L(r)(E,1)/r! |
Ω |
0.31094198169597 |
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 |
41070w1 3330u1 |
Quadratic twists by: -3 37 |