Atkin-Lehner |
3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
28749a |
Isogeny class |
Conductor |
28749 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
1993569419793 = 3 · 7 · 377 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22617,1297998] |
[a1,a2,a3,a4,a6] |
Generators |
[182320530:-1589353256:1157625] |
Generators of the group modulo torsion |
j |
498677257/777 |
j-invariant |
L |
2.9334147156832 |
L(r)(E,1)/r! |
Ω |
0.82853547704454 |
Real period |
R |
14.161926903345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
86247f1 777a1 |
Quadratic twists by: -3 37 |