Atkin-Lehner |
2+ 5- 37- 61- |
Signs for the Atkin-Lehner involutions |
Class |
22570c |
Isogeny class |
Conductor |
22570 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
902800 = 24 · 52 · 37 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 -2 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1174,15780] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:172:1] [16:22:1] |
Generators of the group modulo torsion |
j |
179034228973881/902800 |
j-invariant |
L |
5.6423723743427 |
L(r)(E,1)/r! |
Ω |
2.4799343325304 |
Real period |
R |
2.2752103958279 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112850m1 |
Quadratic twists by: 5 |