Atkin-Lehner |
2- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
56840o |
Isogeny class |
Conductor |
56840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-308640140384172800 = -1 · 28 · 52 · 711 · 293 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 2 0 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-62785,-27385483] |
[a1,a2,a3,a4,a6] |
Generators |
[7859:696290:1] |
Generators of the group modulo torsion |
j |
-908803769344/10247648075 |
j-invariant |
L |
5.4673066604687 |
L(r)(E,1)/r! |
Ω |
0.13033511070991 |
Real period |
R |
0.87391817502093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113680o1 8120g1 |
Quadratic twists by: -4 -7 |