Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
6150n |
Isogeny class |
Conductor |
6150 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
113064903126562500 = 22 · 316 · 58 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22416751,-40853279602] |
[a1,a2,a3,a4,a6] |
Generators |
[9517:774866:1] |
Generators of the group modulo torsion |
j |
79729981196639723693281/7236153800100 |
j-invariant |
L |
3.7264671875119 |
L(r)(E,1)/r! |
Ω |
0.06938353014483 |
Real period |
R |
3.3567649085213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49200bt6 18450bh5 1230f5 |
Quadratic twists by: -4 -3 5 |