Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
770b |
Isogeny class |
Conductor |
770 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-414124480 = -1 · 26 · 5 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11+ 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-914,10596] |
[a1,a2,a3,a4,a6] |
j |
-84309998289049/414124480 |
j-invariant |
L |
0.56315565348231 |
L(r)(E,1)/r! |
Ω |
1.6894669604469 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
6160f1 24640w1 6930bk1 3850o1 |
Quadratic twists by: -4 8 -3 5 |