Atkin-Lehner |
2+ 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
34320j |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-40198329600000 = -1 · 211 · 3 · 55 · 115 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11- 13+ 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7920,-405600] |
[a1,a2,a3,a4,a6] |
Generators |
[140:1100:1] |
Generators of the group modulo torsion |
j |
-26830214120162/19628090625 |
j-invariant |
L |
5.299563959899 |
L(r)(E,1)/r! |
Ω |
0.24519162947311 |
Real period |
R |
0.21613967700642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17160w1 102960u1 |
Quadratic twists by: -4 -3 |