Atkin-Lehner |
2- 7+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
6734c |
Isogeny class |
Conductor |
6734 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-35474119408 = -1 · 24 · 7 · 132 · 374 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1801,31225] |
[a1,a2,a3,a4,a6] |
j |
-645711857344737/35474119408 |
j-invariant |
L |
2.290287879897 |
L(r)(E,1)/r! |
Ω |
1.1451439399485 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53872e1 60606m1 47138l1 87542a1 |
Quadratic twists by: -4 -3 -7 13 |