Atkin-Lehner |
2+ 3+ 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61950a |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
-35564720625000000 = -1 · 26 · 39 · 510 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,33425,8777125] |
[a1,a2,a3,a4,a6] |
Generators |
[-154:161:1] |
Generators of the group modulo torsion |
j |
422880456575/3641827392 |
j-invariant |
L |
4.0406634306735 |
L(r)(E,1)/r! |
Ω |
0.26833370906516 |
Real period |
R |
3.7645879868847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61950co1 |
Quadratic twists by: 5 |