Atkin-Lehner |
2+ 3+ 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658y |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
600045499646208 = 28 · 33 · 78 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-24525,-902691] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:807:1] [-85:802:1] |
Generators of the group modulo torsion |
j |
13867245015625/5100302592 |
j-invariant |
L |
7.9342074522266 |
L(r)(E,1)/r! |
Ω |
0.39328943462567 |
Real period |
R |
10.086982713783 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999937753 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17094q1 |
Quadratic twists by: -7 |