Atkin-Lehner |
2+ 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
28910m |
Isogeny class |
Conductor |
28910 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
610560 |
Modular degree for the optimal curve |
Δ |
-175773003970457600 = -1 · 212 · 52 · 74 · 595 |
Discriminant |
Eigenvalues |
2+ 3 5- 7+ -2 -6 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23284,20223440] |
[a1,a2,a3,a4,a6] |
Generators |
[-5352:114068:27] |
Generators of the group modulo torsion |
j |
-581453267835321/73208248217600 |
j-invariant |
L |
7.2565355554547 |
L(r)(E,1)/r! |
Ω |
0.26315363506971 |
Real period |
R |
1.3787640732252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28910e1 |
Quadratic twists by: -7 |