Atkin-Lehner |
2+ 3+ 5- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
88350t |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024000 |
Modular degree for the optimal curve |
Δ |
-2698561019531250 = -1 · 2 · 32 · 59 · 195 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 2 1 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-539450,-152747250] |
[a1,a2,a3,a4,a6] |
Generators |
[922310:11172599:1000] |
Generators of the group modulo torsion |
j |
-8888910293128949/1381663242 |
j-invariant |
L |
3.9675985007962 |
L(r)(E,1)/r! |
Ω |
0.088080060629537 |
Real period |
R |
11.261341301686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005814 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88350cx1 |
Quadratic twists by: 5 |