Atkin-Lehner |
3+ 5- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
59925l |
Isogeny class |
Conductor |
59925 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-2487608099623125 = -1 · 33 · 54 · 175 · 473 |
Discriminant |
Eigenvalues |
1 3+ 5- -5 -1 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-33800,3374025] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:2445:1] [40:-1465:1] |
Generators of the group modulo torsion |
j |
-6833038566556825/3980172959397 |
j-invariant |
L |
8.8431512573144 |
L(r)(E,1)/r! |
Ω |
0.42436414561031 |
Real period |
R |
0.46307982052097 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59925q1 |
Quadratic twists by: 5 |