Atkin-Lehner |
2- 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52976q |
Isogeny class |
Conductor |
52976 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-305396097776 = -1 · 24 · 79 · 11 · 43 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 11- 2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-602,27391] |
[a1,a2,a3,a4,a6] |
Generators |
[45:299:1] |
Generators of the group modulo torsion |
j |
-1510478065408/19087256111 |
j-invariant |
L |
3.4324934600454 |
L(r)(E,1)/r! |
Ω |
0.82266796082122 |
Real period |
R |
4.1723922937615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999721 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13244d1 |
Quadratic twists by: -4 |