Atkin-Lehner |
5- 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
122815k |
Isogeny class |
Conductor |
122815 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-116441790312155 = -1 · 5 · 72 · 117 · 293 |
Discriminant |
Eigenvalues |
-2 1 5- 7+ 11- -7 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,12060,102526] |
[a1,a2,a3,a4,a6] |
Generators |
[139:2117:1] |
Generators of the group modulo torsion |
j |
109489762304/65728355 |
j-invariant |
L |
2.8745310175424 |
L(r)(E,1)/r! |
Ω |
0.36185551643445 |
Real period |
R |
1.9859659925122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063229 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11165e1 |
Quadratic twists by: -11 |