Atkin-Lehner |
2+ 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
96200j |
Isogeny class |
Conductor |
96200 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
-1924923520000 = -1 · 210 · 54 · 133 · 372 |
Discriminant |
Eigenvalues |
2+ 0 5- 1 -3 13- -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3875,114350] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-260:1] [34:148:1] |
Generators of the group modulo torsion |
j |
-10054462500/3007693 |
j-invariant |
L |
10.900077990152 |
L(r)(E,1)/r! |
Ω |
0.78758475344508 |
Real period |
R |
0.38444109392085 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96200o1 |
Quadratic twists by: 5 |