Atkin-Lehner |
2- 3+ 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
69090bc |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
365760 |
Modular degree for the optimal curve |
Δ |
80961555411450 = 2 · 315 · 52 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -3 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-106331,-13382881] |
[a1,a2,a3,a4,a6] |
j |
55374714756738769/33719931450 |
j-invariant |
L |
2.1151463305064 |
L(r)(E,1)/r! |
Ω |
0.2643932921228 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69090by1 |
Quadratic twists by: -7 |