Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600ct |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-34013971200 = -1 · 28 · 3 · 52 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11- -3 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,807,717] |
[a1,a2,a3,a4,a6] |
Generators |
[191:2662:1] |
Generators of the group modulo torsion |
j |
5120/3 |
j-invariant |
L |
6.2969951305839 |
L(r)(E,1)/r! |
Ω |
0.70541484286421 |
Real period |
R |
2.2316638194627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000724 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72600cc1 600b1 |
Quadratic twists by: 5 -11 |