Atkin-Lehner |
2- 3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49350cc |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
3386880 |
Modular degree for the optimal curve |
Δ |
-69642720000000000 = -1 · 214 · 33 · 510 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 -7 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-22902513,-42188344983] |
[a1,a2,a3,a4,a6] |
Generators |
[5526:-381:1] |
Generators of the group modulo torsion |
j |
-136042024094998862425/7131414528 |
j-invariant |
L |
10.292735758449 |
L(r)(E,1)/r! |
Ω |
0.034506330127674 |
Real period |
R |
7.1020342122182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49350n1 |
Quadratic twists by: 5 |