Atkin-Lehner |
2+ 5- 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
108560g |
Isogeny class |
Conductor |
108560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
144384 |
Modular degree for the optimal curve |
Δ |
-998752000000 = -1 · 211 · 56 · 232 · 59 |
Discriminant |
Eigenvalues |
2+ -2 5- -3 3 -3 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-960,49108] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:230:1] [36:250:1] |
Generators of the group modulo torsion |
j |
-47825527682/487671875 |
j-invariant |
L |
8.4140334632186 |
L(r)(E,1)/r! |
Ω |
0.74873307646199 |
Real period |
R |
0.46823726454029 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54280g1 |
Quadratic twists by: -4 |