Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69300h |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
18191250000 = 24 · 33 · 57 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1200,14625] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:175:1] |
Generators of the group modulo torsion |
j |
28311552/2695 |
j-invariant |
L |
5.9935193561634 |
L(r)(E,1)/r! |
Ω |
1.1929024759535 |
Real period |
R |
0.41869302513517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999749 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69300d1 13860d1 |
Quadratic twists by: -3 5 |