Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
7800p |
Isogeny class |
Conductor |
7800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-126750000 = -1 · 24 · 3 · 56 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 6 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-83,-588] |
[a1,a2,a3,a4,a6] |
Generators |
[13:19:1] |
Generators of the group modulo torsion |
j |
-256000/507 |
j-invariant |
L |
3.8596417209358 |
L(r)(E,1)/r! |
Ω |
0.74264033014604 |
Real period |
R |
2.5985942078966 |
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 |
15600s1 62400cb1 23400p1 312a1 |
Quadratic twists by: -4 8 -3 5 |