Atkin-Lehner |
3+ 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39975g |
Isogeny class |
Conductor |
39975 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2595840 |
Modular degree for the optimal curve |
Δ |
-1896124980874921875 = -1 · 313 · 57 · 135 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5+ 0 -6 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-59153283,175131927218] |
[a1,a2,a3,a4,a6] |
Generators |
[4532:10562:1] |
Generators of the group modulo torsion |
j |
-1465008863451482304446464/121351998775995 |
j-invariant |
L |
3.169200976432 |
L(r)(E,1)/r! |
Ω |
0.20113073937552 |
Real period |
R |
1.5756920032571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119925y1 7995g1 |
Quadratic twists by: -3 5 |