Atkin-Lehner |
3+ 5+ 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25935c |
Isogeny class |
Conductor |
25935 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
3510950625 = 32 · 54 · 7 · 13 · 193 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -6 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12978,-574497] |
[a1,a2,a3,a4,a6] |
Generators |
[334:5533:1] |
Generators of the group modulo torsion |
j |
241768272799079209/3510950625 |
j-invariant |
L |
3.2467448621352 |
L(r)(E,1)/r! |
Ω |
0.44729457764447 |
Real period |
R |
2.4195426045129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77805x1 129675bh1 |
Quadratic twists by: -3 5 |