Atkin-Lehner |
2+ 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32634c |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-60187364809721856 = -1 · 211 · 39 · 79 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 0 0 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-999609,385105517] |
[a1,a2,a3,a4,a6] |
j |
-139072344741/75776 |
j-invariant |
L |
1.3863324720998 |
L(r)(E,1)/r! |
Ω |
0.34658311802461 |
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 |
32634bl1 32634d1 |
Quadratic twists by: -3 -7 |