Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18620n |
Isogeny class |
Conductor |
18620 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-18646594722560 = -1 · 28 · 5 · 79 · 192 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 3 3 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6925,301615] |
[a1,a2,a3,a4,a6] |
Generators |
[93:686:1] |
Generators of the group modulo torsion |
j |
-1219600384/619115 |
j-invariant |
L |
6.5025847759193 |
L(r)(E,1)/r! |
Ω |
0.64092087968332 |
Real period |
R |
0.42273709738375 |
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 |
74480ci1 93100v1 2660c1 |
Quadratic twists by: -4 5 -7 |