Atkin-Lehner |
2+ 5- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17710c |
Isogeny class |
Conductor |
17710 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
1217562500 = 22 · 56 · 7 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-323,-1494] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:32:1] |
Generators of the group modulo torsion |
j |
3710197529641/1217562500 |
j-invariant |
L |
2.154135188376 |
L(r)(E,1)/r! |
Ω |
1.156108605239 |
Real period |
R |
0.31054394869917 |
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 |
88550bt1 123970f1 |
Quadratic twists by: 5 -7 |