Atkin-Lehner |
2+ 3+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
61854a |
Isogeny class |
Conductor |
61854 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-21496135959792 = -1 · 24 · 33 · 138 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2870,-213884] |
[a1,a2,a3,a4,a6] |
Generators |
[620:15194:1] |
Generators of the group modulo torsion |
j |
541343375/4453488 |
j-invariant |
L |
3.9092810739467 |
L(r)(E,1)/r! |
Ω |
0.33726802105245 |
Real period |
R |
5.7955110329955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994235 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4758d1 |
Quadratic twists by: 13 |