Atkin-Lehner |
3+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15675j |
Isogeny class |
Conductor |
15675 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-7777552921875 = -1 · 39 · 56 · 113 · 19 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 11- 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-9083,-356182] |
[a1,a2,a3,a4,a6] |
Generators |
[112:137:1] |
Generators of the group modulo torsion |
j |
-5304438784000/497763387 |
j-invariant |
L |
2.792733046169 |
L(r)(E,1)/r! |
Ω |
0.24321845674946 |
Real period |
R |
1.9137343189966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47025q1 627b1 |
Quadratic twists by: -3 5 |