Atkin-Lehner |
2+ 5+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
11330f |
Isogeny class |
Conductor |
11330 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-580096000000 = -1 · 215 · 56 · 11 · 103 |
Discriminant |
Eigenvalues |
2+ -2 5+ -1 11- -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-177294,-28748224] |
[a1,a2,a3,a4,a6] |
Generators |
[210138:5689823:216] |
Generators of the group modulo torsion |
j |
-616314387368923834969/580096000000 |
j-invariant |
L |
1.9247516352597 |
L(r)(E,1)/r! |
Ω |
0.1163312295441 |
Real period |
R |
8.2727211033646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90640i2 101970cf2 56650t2 124630x2 |
Quadratic twists by: -4 -3 5 -11 |