Atkin-Lehner |
2+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17864g |
Isogeny class |
Conductor |
17864 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-8935429888 = -1 · 28 · 73 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11- 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-311,-5014] |
[a1,a2,a3,a4,a6] |
Generators |
[34:154:1] |
Generators of the group modulo torsion |
j |
-12994659792/34904023 |
j-invariant |
L |
4.259819175899 |
L(r)(E,1)/r! |
Ω |
0.5279065469127 |
Real period |
R |
1.3448779273564 |
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 |
35728a1 125048e1 |
Quadratic twists by: -4 -7 |