Atkin-Lehner |
3- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
7011c |
Isogeny class |
Conductor |
7011 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-1591108426942227 = -1 · 311 · 194 · 413 |
Discriminant |
Eigenvalues |
2 3- 0 -2 5 2 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,25845,-1060925] |
[a1,a2,a3,a4,a6] |
Generators |
[15218:666041:8] |
Generators of the group modulo torsion |
j |
2618941474304000/2182590434763 |
j-invariant |
L |
7.7500750186673 |
L(r)(E,1)/r! |
Ω |
0.2626867475278 |
Real period |
R |
2.4585921861955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112176x1 2337a1 |
Quadratic twists by: -4 -3 |