Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
15190ba |
Isogeny class |
Conductor |
15190 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
1633909312000 = 29 · 53 · 77 · 31 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- 1 5 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13803,-617669] |
[a1,a2,a3,a4,a6] |
j |
2471874619761/13888000 |
j-invariant |
L |
7.9310022303551 |
L(r)(E,1)/r! |
Ω |
0.44061123501973 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121520bp1 75950bk1 2170o1 |
Quadratic twists by: -4 5 -7 |