Atkin-Lehner |
2- 3+ 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
28644c |
Isogeny class |
Conductor |
28644 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
47520 |
Modular degree for the optimal curve |
Δ |
-9286998812784 = -1 · 24 · 33 · 75 · 113 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 11- -5 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1854,142749] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:341:1] |
Generators of the group modulo torsion |
j |
44024927611136/580437425799 |
j-invariant |
L |
3.536925432014 |
L(r)(E,1)/r! |
Ω |
0.53973931428798 |
Real period |
R |
1.0921708987976 |
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 |
114576cf1 85932t1 |
Quadratic twists by: -4 -3 |