Atkin-Lehner |
2- 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
66300bf |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
343545363281250000 = 24 · 34 · 512 · 13 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1671033,-831508812] |
[a1,a2,a3,a4,a6] |
Generators |
[23952:3701478:1] |
Generators of the group modulo torsion |
j |
2064139491706322944/1374181453125 |
j-invariant |
L |
7.612286674059 |
L(r)(E,1)/r! |
Ω |
0.132791608445 |
Real period |
R |
7.1656322666755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000422 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13260a1 |
Quadratic twists by: 5 |