Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
770d |
Isogeny class |
Conductor |
770 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
-135520000 = -1 · 28 · 54 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 11- 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,32,558] |
[a1,a2,a3,a4,a6] |
Generators |
[4:25:1] |
Generators of the group modulo torsion |
j |
3789119879/135520000 |
j-invariant |
L |
1.3476401146559 |
L(r)(E,1)/r! |
Ω |
1.3934589959707 |
Real period |
R |
0.24177965023598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6160o1 24640c1 6930w1 3850u1 |
Quadratic twists by: -4 8 -3 5 |