Atkin-Lehner |
3+ 5- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
75225j |
Isogeny class |
Conductor |
75225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
156960 |
Modular degree for the optimal curve |
Δ |
-12274604296875 = -1 · 32 · 58 · 17 · 593 |
Discriminant |
Eigenvalues |
0 3+ 5- -4 -1 4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,5167,-91057] |
[a1,a2,a3,a4,a6] |
Generators |
[17:37:1] |
Generators of the group modulo torsion |
j |
39047659520/31422987 |
j-invariant |
L |
3.9255288249727 |
L(r)(E,1)/r! |
Ω |
0.39543083533196 |
Real period |
R |
1.6545366370436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952412 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75225l1 |
Quadratic twists by: 5 |