Atkin-Lehner |
2+ 3+ 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050i |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
3148656192000000 = 212 · 33 · 56 · 113 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11- 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-38450,1048500] |
[a1,a2,a3,a4,a6] |
j |
402355893390625/201513996288 |
j-invariant |
L |
2.383971241257 |
L(r)(E,1)/r! |
Ω |
0.39732853956213 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2442i1 |
Quadratic twists by: 5 |