Atkin-Lehner |
2- 3+ 5+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
31110o |
Isogeny class |
Conductor |
31110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
544300560 = 24 · 38 · 5 · 17 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-216,393] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:349:8] |
Generators of the group modulo torsion |
j |
1114835073409/544300560 |
j-invariant |
L |
6.2038859218048 |
L(r)(E,1)/r! |
Ω |
1.4598036949167 |
Real period |
R |
2.1249041715019 |
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 |
93330p1 |
Quadratic twists by: -3 |