Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800ca |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-19148800 = -1 · 212 · 52 · 11 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ 3 11- -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7173,-236237] |
[a1,a2,a3,a4,a6] |
Generators |
[4525931178:61315061533:20570824] |
Generators of the group modulo torsion |
j |
-398645432320/187 |
j-invariant |
L |
4.3632910924701 |
L(r)(E,1)/r! |
Ω |
0.25938167695152 |
Real period |
R |
16.821894060926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003315 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4675f1 74800dn1 |
Quadratic twists by: -4 5 |