Atkin-Lehner |
3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
21417c |
Isogeny class |
Conductor |
21417 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61248 |
Modular degree for the optimal curve |
Δ |
-123954952168179 = -1 · 34 · 1110 · 59 |
Discriminant |
Eigenvalues |
0 3+ 3 0 11- 2 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,9761,-389478] |
[a1,a2,a3,a4,a6] |
Generators |
[5180:36266:125] |
Generators of the group modulo torsion |
j |
3964928/4779 |
j-invariant |
L |
4.3585938387637 |
L(r)(E,1)/r! |
Ω |
0.31534404838788 |
Real period |
R |
6.9108547648923 |
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 |
64251m1 21417d1 |
Quadratic twists by: -3 -11 |