Atkin-Lehner |
2- 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
49350bm |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
88320 |
Modular degree for the optimal curve |
Δ |
-520488281250 = -1 · 2 · 34 · 510 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 -4 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4388,-118969] |
[a1,a2,a3,a4,a6] |
Generators |
[33727356:13518265:438976] |
Generators of the group modulo torsion |
j |
-956818825/53298 |
j-invariant |
L |
7.2008078544406 |
L(r)(E,1)/r! |
Ω |
0.29234758913448 |
Real period |
R |
12.315490399158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49350bg1 |
Quadratic twists by: 5 |