Atkin-Lehner |
2+ 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
113230g |
Isogeny class |
Conductor |
113230 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
84083012780 = 22 · 5 · 137 · 67 |
Discriminant |
Eigenvalues |
2+ 2 5+ -5 -2 13+ 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8453,295313] |
[a1,a2,a3,a4,a6] |
Generators |
[31:238:1] [58:37:1] |
Generators of the group modulo torsion |
j |
13841287201/17420 |
j-invariant |
L |
10.0441741478 |
L(r)(E,1)/r! |
Ω |
1.0765650805747 |
Real period |
R |
1.166229326559 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999964909 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8710n1 |
Quadratic twists by: 13 |