Atkin-Lehner |
2- 5+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
51850p |
Isogeny class |
Conductor |
51850 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
Δ |
-9878213120000000 = -1 · 215 · 57 · 17 · 613 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 -3 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-68188,-8385219] |
[a1,a2,a3,a4,a6] |
Generators |
[345:2877:1] |
Generators of the group modulo torsion |
j |
-2244026295219961/632205639680 |
j-invariant |
L |
6.9970407566927 |
L(r)(E,1)/r! |
Ω |
0.1455937204824 |
Real period |
R |
0.26699261835852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10370b2 |
Quadratic twists by: 5 |