Atkin-Lehner |
2- 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650ca |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
54344062500 = 22 · 3 · 57 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2463,-46719] |
[a1,a2,a3,a4,a6] |
j |
105756712489/3478020 |
j-invariant |
L |
4.0743577681592 |
L(r)(E,1)/r! |
Ω |
0.67905962802653 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200fu1 40950bt1 2730l1 95550jn1 |
Quadratic twists by: -4 -3 5 -7 |