Atkin-Lehner |
2- 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60270bi |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2032128 |
Modular degree for the optimal curve |
Δ |
1017516200505000000 = 26 · 3 · 57 · 79 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1712306,-861198780] |
[a1,a2,a3,a4,a6] |
j |
13758956679297367/25215000000 |
j-invariant |
L |
7.1276403548446 |
L(r)(E,1)/r! |
Ω |
0.13199333988802 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60270bb1 |
Quadratic twists by: -7 |