Atkin-Lehner |
2+ 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712q |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
351571968 = 212 · 33 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11- -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-180,-224] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:24:1] |
Generators of the group modulo torsion |
j |
5832000/3179 |
j-invariant |
L |
6.7758101733963 |
L(r)(E,1)/r! |
Ω |
1.3911710657191 |
Real period |
R |
1.2176450334271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026734 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712e1 53856q1 107712a1 |
Quadratic twists by: -4 8 -3 |