Atkin-Lehner |
3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113715b |
Isogeny class |
Conductor |
113715 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
29564807767425 = 33 · 52 · 72 · 197 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8190,-111769] |
[a1,a2,a3,a4,a6] |
Generators |
[98:91:1] |
Generators of the group modulo torsion |
j |
47832147/23275 |
j-invariant |
L |
6.7015817120478 |
L(r)(E,1)/r! |
Ω |
0.52706424053366 |
Real period |
R |
3.1787309589682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055286 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113715e1 5985b1 |
Quadratic twists by: -3 -19 |