Atkin-Lehner |
2+ 3+ 5- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
17430g |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
133056000 |
Modular degree for the optimal curve |
Δ |
1.2321434488886E+33 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-97311967552,11561421736167616] |
[a1,a2,a3,a4,a6] |
j |
101911330862444537650467942170606186761/1232143448888598218129390625000000 |
j-invariant |
L |
1.6635543381958 |
L(r)(E,1)/r! |
Ω |
0.01540328090922 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290bz1 87150ct1 122010u1 |
Quadratic twists by: -3 5 -7 |