Atkin-Lehner |
2- 3- 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658cx |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2359296 |
Modular degree for the optimal curve |
Δ |
4472405795751919872 = 28 · 3 · 710 · 11 · 374 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-438649,46344185] |
[a1,a2,a3,a4,a6] |
Generators |
[622:3463:1] |
Generators of the group modulo torsion |
j |
79339044305791873/38014822019328 |
j-invariant |
L |
10.370828172857 |
L(r)(E,1)/r! |
Ω |
0.21836269663858 |
Real period |
R |
2.9683493092006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016681 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17094u1 |
Quadratic twists by: -7 |