Atkin-Lehner |
2+ 3- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30552f |
Isogeny class |
Conductor |
30552 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
383616 |
Modular degree for the optimal curve |
Δ |
-14107165616019888 = -1 · 24 · 33 · 192 · 676 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 2 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1904823,1011263886] |
[a1,a2,a3,a4,a6] |
Generators |
[705:4389:1] |
Generators of the group modulo torsion |
j |
-47771385431841695488000/881697851001243 |
j-invariant |
L |
6.9251587870503 |
L(r)(E,1)/r! |
Ω |
0.3642228502815 |
Real period |
R |
3.1689201550177 |
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 |
61104a1 91656l1 |
Quadratic twists by: -4 -3 |