Atkin-Lehner |
2+ 5+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
58480a |
Isogeny class |
Conductor |
58480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-1436561200 = -1 · 24 · 52 · 174 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,262,-813] |
[a1,a2,a3,a4,a6] |
Generators |
[1091:36040:1] |
Generators of the group modulo torsion |
j |
124310439936/89785075 |
j-invariant |
L |
6.9359104732264 |
L(r)(E,1)/r! |
Ω |
0.85165191983563 |
Real period |
R |
4.072033604146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29240a1 |
Quadratic twists by: -4 |