Atkin-Lehner |
2+ 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45936u |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1621575281963501568 = -1 · 211 · 312 · 116 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 11- -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,215133,-47734270] |
[a1,a2,a3,a4,a6] |
Generators |
[223:3366:1] [311:7018:1] |
Generators of the group modulo torsion |
j |
737542976796862/1086124561929 |
j-invariant |
L |
6.8628253036318 |
L(r)(E,1)/r! |
Ω |
0.14135076408798 |
Real period |
R |
2.0229890949866 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22968i2 15312b2 |
Quadratic twists by: -4 -3 |