Atkin-Lehner |
2+ 3+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12210c |
Isogeny class |
Conductor |
12210 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
59096400000 = 27 · 3 · 55 · 113 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 11+ -5 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3318,-74028] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:31:1] |
Generators of the group modulo torsion |
j |
4041637490654569/59096400000 |
j-invariant |
L |
2.0107304373768 |
L(r)(E,1)/r! |
Ω |
0.62957577169737 |
Real period |
R |
3.1937862410996 |
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 |
97680cl1 36630bo1 61050ce1 |
Quadratic twists by: -4 -3 5 |