Atkin-Lehner |
2+ 3+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
4278d |
Isogeny class |
Conductor |
4278 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.1481372274951E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -4 6 -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4235382,-3316877100] |
[a1,a2,a3,a4,a6] |
Generators |
[3375:142695:1] |
Generators of the group modulo torsion |
j |
8402366714652252775019881/114813722749510887552 |
j-invariant |
L |
1.3139509202967 |
L(r)(E,1)/r! |
Ω |
0.10532599702497 |
Real period |
R |
1.0395905390647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34224be2 12834p2 106950cf2 98394q2 |
Quadratic twists by: -4 -3 5 -23 |