Atkin-Lehner |
2+ 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
15656f |
Isogeny class |
Conductor |
15656 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
35040 |
Modular degree for the optimal curve |
Δ |
-6724847178496 = -1 · 28 · 195 · 1032 |
Discriminant |
Eigenvalues |
2+ -2 1 -3 -1 -6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15505,748371] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:874:1] [59:206:1] |
Generators of the group modulo torsion |
j |
-1610375179457536/26268934291 |
j-invariant |
L |
4.9723695904782 |
L(r)(E,1)/r! |
Ω |
0.75071438482431 |
Real period |
R |
0.16558792834517 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31312e1 125248e1 |
Quadratic twists by: -4 8 |