Atkin-Lehner |
2+ 3- 5- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
15990n |
Isogeny class |
Conductor |
15990 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
3157025625000000 = 26 · 36 · 510 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-113568,-14490194] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:582:1] |
Generators of the group modulo torsion |
j |
161989232589735590521/3157025625000000 |
j-invariant |
L |
4.2023559779729 |
L(r)(E,1)/r! |
Ω |
0.2603755755263 |
Real period |
R |
0.26899322702591 |
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 |
127920br1 47970bf1 79950bf1 |
Quadratic twists by: -4 -3 5 |