Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
7800x |
Isogeny class |
Conductor |
7800 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-1898208000 = -1 · 28 · 33 · 53 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 5 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,47,-2077] |
[a1,a2,a3,a4,a6] |
Generators |
[53:-390:1] |
Generators of the group modulo torsion |
j |
351232/59319 |
j-invariant |
L |
4.5517514096293 |
L(r)(E,1)/r! |
Ω |
0.69874042858628 |
Real period |
R |
0.18095065632911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15600l1 62400bo1 23400y1 7800c1 |
Quadratic twists by: -4 8 -3 5 |