Atkin-Lehner |
2- 3+ 5- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
104550bt |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
48826483593750 = 2 · 37 · 58 · 17 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -1 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10013,184781] |
[a1,a2,a3,a4,a6] |
Generators |
[1030:7681:8] |
Generators of the group modulo torsion |
j |
284222880625/124995798 |
j-invariant |
L |
8.4154191617681 |
L(r)(E,1)/r! |
Ω |
0.57155876181752 |
Real period |
R |
2.4539381640709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011847 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104550v1 |
Quadratic twists by: 5 |