Atkin-Lehner |
2+ 5- 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
51850k |
Isogeny class |
Conductor |
51850 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
276000 |
Modular degree for the optimal curve |
Δ |
135330120312500 = 22 · 58 · 175 · 61 |
Discriminant |
Eigenvalues |
2+ 2 5- -3 -3 -5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-71200,7261500] |
[a1,a2,a3,a4,a6] |
Generators |
[210:1170:1] |
Generators of the group modulo torsion |
j |
102191127064105/346445108 |
j-invariant |
L |
4.7748052132433 |
L(r)(E,1)/r! |
Ω |
0.58584901059173 |
Real period |
R |
0.27167439202829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51850n1 |
Quadratic twists by: 5 |