Atkin-Lehner |
2- 3+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
57354o |
Isogeny class |
Conductor |
57354 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-20188608 = -1 · 26 · 3 · 113 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 11+ 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,25,221] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:14:1] |
Generators of the group modulo torsion |
j |
1295029/15168 |
j-invariant |
L |
6.3061070397681 |
L(r)(E,1)/r! |
Ω |
1.5951190447223 |
Real period |
R |
1.3177923534166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999921 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57354a1 |
Quadratic twists by: -11 |