Atkin-Lehner |
3+ 5- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
58575j |
Isogeny class |
Conductor |
58575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
142560 |
Modular degree for the optimal curve |
Δ |
-66053380078125 = -1 · 39 · 58 · 112 · 71 |
Discriminant |
Eigenvalues |
1 3+ 5- 3 11+ 2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,8300,264625] |
[a1,a2,a3,a4,a6] |
Generators |
[78120:1937497:125] |
Generators of the group modulo torsion |
j |
161851301015/169096653 |
j-invariant |
L |
6.9948017430811 |
L(r)(E,1)/r! |
Ω |
0.40961210616605 |
Real period |
R |
8.5383239874196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999787 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58575p1 |
Quadratic twists by: 5 |