Atkin-Lehner |
2+ 3+ 5+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
34770b |
Isogeny class |
Conductor |
34770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14848 |
Modular degree for the optimal curve |
Δ |
-322387440 = -1 · 24 · 3 · 5 · 192 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,32,-848] |
[a1,a2,a3,a4,a6] |
Generators |
[12:32:1] [108:1076:1] |
Generators of the group modulo torsion |
j |
3449795831/322387440 |
j-invariant |
L |
5.0951930012886 |
L(r)(E,1)/r! |
Ω |
0.81503712044715 |
Real period |
R |
3.1257429100233 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104310cd1 |
Quadratic twists by: -3 |