Atkin-Lehner |
2+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800cs |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-23667200000000 = -1 · 215 · 58 · 432 |
Discriminant |
Eigenvalues |
2+ -3 5- -4 -1 4 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-83500,-9290000] |
[a1,a2,a3,a4,a6] |
Generators |
[500:8600:1] |
Generators of the group modulo torsion |
j |
-5030060040/1849 |
j-invariant |
L |
3.004309516546 |
L(r)(E,1)/r! |
Ω |
0.14042303775179 |
Real period |
R |
1.7828921125995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977597 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800cb1 34400bm1 68800w1 |
Quadratic twists by: -4 8 5 |