Atkin-Lehner |
2+ 3- 5- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
70290g |
Isogeny class |
Conductor |
70290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
6314194279800 = 23 · 36 · 52 · 112 · 713 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- 5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12294,-507492] |
[a1,a2,a3,a4,a6] |
j |
281900392615009/8661446200 |
j-invariant |
L |
1.8169846478614 |
L(r)(E,1)/r! |
Ω |
0.45424616225583 |
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 |
7810c1 |
Quadratic twists by: -3 |