Atkin-Lehner |
2+ 3+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050a |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
6868125000 = 23 · 33 · 57 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11+ 7 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13900,625000] |
[a1,a2,a3,a4,a6] |
Generators |
[65:5:1] |
Generators of the group modulo torsion |
j |
19010647320769/439560 |
j-invariant |
L |
4.0655593927426 |
L(r)(E,1)/r! |
Ω |
1.230389156337 |
Real period |
R |
0.82607185127298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000238 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12210w1 |
Quadratic twists by: 5 |