Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7800t |
Isogeny class |
Conductor |
7800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-877500000000 = -1 · 28 · 33 · 510 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2092,26688] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:150:1] |
Generators of the group modulo torsion |
j |
253012016/219375 |
j-invariant |
L |
5.2560816453418 |
L(r)(E,1)/r! |
Ω |
0.57702054619846 |
Real period |
R |
0.7590835485221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15600d1 62400y1 23400g1 1560a1 |
Quadratic twists by: -4 8 -3 5 |