Atkin-Lehner |
2+ 3- 11+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
74646h |
Isogeny class |
Conductor |
74646 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-4407771654 = -1 · 2 · 312 · 11 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 3 3 11+ 13+ 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,387,-1373] |
[a1,a2,a3,a4,a6] |
j |
8780064047/6046326 |
j-invariant |
L |
3.1236751697381 |
L(r)(E,1)/r! |
Ω |
0.78091878330294 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24882ba1 |
Quadratic twists by: -3 |