Atkin-Lehner |
3+ 7- 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
114471f |
Isogeny class |
Conductor |
114471 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
-2403891 = -1 · 33 · 72 · 23 · 79 |
Discriminant |
Eigenvalues |
0 3+ -3 7- -3 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-24,87] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:11:1] [-1:10:1] |
Generators of the group modulo torsion |
j |
-56623104/89033 |
j-invariant |
L |
7.5830563770074 |
L(r)(E,1)/r! |
Ω |
2.3160159100613 |
Real period |
R |
0.81854536712439 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004667 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114471e1 |
Quadratic twists by: -3 |