Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800bs |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
-1448128000000 = -1 · 212 · 56 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ -5 11- -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2800,-10000] |
[a1,a2,a3,a4,a6] |
Generators |
[25:275:1] |
Generators of the group modulo torsion |
j |
37933056/22627 |
j-invariant |
L |
2.9489241132424 |
L(r)(E,1)/r! |
Ω |
0.49702626256421 |
Real period |
R |
0.98885590045192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957452 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4675g1 2992i1 |
Quadratic twists by: -4 5 |