Atkin-Lehner |
2+ 3- 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
34038b |
Isogeny class |
Conductor |
34038 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-221536731456 = -1 · 26 · 310 · 312 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 -1 -3 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,666,21492] |
[a1,a2,a3,a4,a6] |
Generators |
[28:234:1] [-12:114:1] |
Generators of the group modulo torsion |
j |
44776693151/303891264 |
j-invariant |
L |
6.6730759878584 |
L(r)(E,1)/r! |
Ω |
0.72336773077109 |
Real period |
R |
1.1531264984589 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11346g1 |
Quadratic twists by: -3 |