Atkin-Lehner |
2+ 3+ 5+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810f |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.1321744133087E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-56455530,21216251276] |
[a1,a2,a3,a4,a6] |
Generators |
[2145763589220:-1302359972669927:5832000] |
Generators of the group modulo torsion |
j |
1011001711079893980015603/575204193115234375000 |
j-invariant |
L |
5.4804338864185 |
L(r)(E,1)/r! |
Ω |
0.061612713780428 |
Real period |
R |
22.237431104114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999545646 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810cv2 |
Quadratic twists by: -3 |