Atkin-Lehner |
2+ 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
117800h |
Isogeny class |
Conductor |
117800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-437148437500000000 = -1 · 28 · 516 · 192 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 0 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10908,-31817312] |
[a1,a2,a3,a4,a6] |
Generators |
[5699064:-129287096:9261] |
Generators of the group modulo torsion |
j |
-35887146064/109287109375 |
j-invariant |
L |
5.7480401507019 |
L(r)(E,1)/r! |
Ω |
0.13491850332876 |
Real period |
R |
10.650948449656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000096145 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23560f1 |
Quadratic twists by: 5 |