Atkin-Lehner |
2+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
72512k |
Isogeny class |
Conductor |
72512 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
247296 |
Modular degree for the optimal curve |
Δ |
-3387218282725376 = -1 · 214 · 117 · 1032 |
Discriminant |
Eigenvalues |
2+ 1 -3 0 11- 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,35723,-1030829] |
[a1,a2,a3,a4,a6] |
Generators |
[5178:137093:8] |
Generators of the group modulo torsion |
j |
307705590161408/206739397139 |
j-invariant |
L |
5.5884881709929 |
L(r)(E,1)/r! |
Ω |
0.25340529457857 |
Real period |
R |
1.5752540894703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72512r1 4532b1 |
Quadratic twists by: -4 8 |