Atkin-Lehner |
2- 3- 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
48840w |
Isogeny class |
Conductor |
48840 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-2349422295264000 = -1 · 28 · 32 · 53 · 115 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- 6 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8865,-2357037] |
[a1,a2,a3,a4,a6] |
Generators |
[261:-3630:1] |
Generators of the group modulo torsion |
j |
-301001704907776/9177430840875 |
j-invariant |
L |
8.1488271285014 |
L(r)(E,1)/r! |
Ω |
0.19998660004962 |
Real period |
R |
0.67911442787354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97680f1 |
Quadratic twists by: -4 |