Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
910b |
Isogeny class |
Conductor |
910 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
144 |
Modular degree for the optimal curve |
Δ |
-768950 = -1 · 2 · 52 · 7 · 133 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -3 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6,42] |
[a1,a2,a3,a4,a6] |
Generators |
[6:14:1] |
Generators of the group modulo torsion |
j |
30080231/768950 |
j-invariant |
L |
1.9847671663108 |
L(r)(E,1)/r! |
Ω |
2.131157286306 |
Real period |
R |
1.3969643482423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
7280m1 29120v1 8190bx1 4550o1 |
Quadratic twists by: -4 8 -3 5 |