Atkin-Lehner |
2+ 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
60600n |
Isogeny class |
Conductor |
60600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
37090836000000 = 28 · 32 · 56 · 1013 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 -1 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-269633,53799363] |
[a1,a2,a3,a4,a6] |
Generators |
[279:-606:1] |
Generators of the group modulo torsion |
j |
541981500384256/9272709 |
j-invariant |
L |
8.0549165069278 |
L(r)(E,1)/r! |
Ω |
0.59632497539523 |
Real period |
R |
0.56281647588338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996665 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121200h1 2424g1 |
Quadratic twists by: -4 5 |