Atkin-Lehner |
2+ 3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
69090i |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
369600 |
Modular degree for the optimal curve |
Δ |
-604651153050000 = -1 · 24 · 37 · 55 · 76 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -6 -1 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6003,-1199043] |
[a1,a2,a3,a4,a6] |
Generators |
[134:585:1] |
Generators of the group modulo torsion |
j |
-203401212841/5139450000 |
j-invariant |
L |
2.0793990216047 |
L(r)(E,1)/r! |
Ω |
0.22314546447048 |
Real period |
R |
4.6592903564569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1410f1 |
Quadratic twists by: -7 |