Atkin-Lehner |
2+ 3- 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658bu |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2506752 |
Modular degree for the optimal curve |
Δ |
690256506742324368 = 24 · 3 · 78 · 113 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-289175,44524778] |
[a1,a2,a3,a4,a6] |
Generators |
[1763:69936:1] |
Generators of the group modulo torsion |
j |
22730843186467417/5867083500432 |
j-invariant |
L |
8.1920258347164 |
L(r)(E,1)/r! |
Ω |
0.26804978681401 |
Real period |
R |
2.5467985868673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018921 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17094h1 |
Quadratic twists by: -7 |