Atkin-Lehner |
2- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74800bm |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-14481280000000000 = -1 · 216 · 510 · 113 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 11+ 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,49792,-3886412] |
[a1,a2,a3,a4,a6] |
Generators |
[714:19904:1] |
Generators of the group modulo torsion |
j |
341297975/362032 |
j-invariant |
L |
3.9830568503799 |
L(r)(E,1)/r! |
Ω |
0.21401373247832 |
Real period |
R |
4.6528052245289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350bf1 74800cq1 |
Quadratic twists by: -4 5 |