Atkin-Lehner |
2+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
114224g |
Isogeny class |
Conductor |
114224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-107030629376 = -1 · 210 · 116 · 59 |
Discriminant |
Eigenvalues |
2+ -3 -3 3 11- 6 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2299,-45254] |
[a1,a2,a3,a4,a6] |
Generators |
[77:484:1] |
Generators of the group modulo torsion |
j |
-740772/59 |
j-invariant |
L |
3.3410362444088 |
L(r)(E,1)/r! |
Ω |
0.34316798452959 |
Real period |
R |
1.2169827708181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000140847 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57112c1 944e1 |
Quadratic twists by: -4 -11 |