Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5850bx |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-22211718750 = -1 · 2 · 37 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -4 13+ -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,445,-6303] |
[a1,a2,a3,a4,a6] |
j |
34295/78 |
j-invariant |
L |
3.7506657956641 |
L(r)(E,1)/r! |
Ω |
0.62511096594402 |
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 |
46800fa1 1950c1 5850s1 76050cv1 |
Quadratic twists by: -4 -3 5 13 |