Atkin-Lehner |
5+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
112385f |
Isogeny class |
Conductor |
112385 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-3209827985 = -1 · 5 · 7 · 136 · 19 |
Discriminant |
Eigenvalues |
-1 -1 5+ 7+ 0 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-426,4168] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:88:1] [4:48:1] |
Generators of the group modulo torsion |
j |
-1771561/665 |
j-invariant |
L |
5.3203997428842 |
L(r)(E,1)/r! |
Ω |
1.3326458539936 |
Real period |
R |
1.9961791527516 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988693 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
665c1 |
Quadratic twists by: 13 |