Atkin-Lehner |
2+ 3+ 5- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
63240i |
Isogeny class |
Conductor |
63240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-3109853813760 = -1 · 210 · 37 · 5 · 172 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2240,-75140] |
[a1,a2,a3,a4,a6] |
Generators |
[2537:127782:1] |
Generators of the group modulo torsion |
j |
1213315971836/3036966615 |
j-invariant |
L |
5.0570630846549 |
L(r)(E,1)/r! |
Ω |
0.41236433879552 |
Real period |
R |
6.1317900323044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000092 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126480r1 |
Quadratic twists by: -4 |