Atkin-Lehner |
2- 7- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
57134s |
Isogeny class |
Conductor |
57134 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1253376 |
Modular degree for the optimal curve |
Δ |
-1049141570480641792 = -1 · 28 · 77 · 116 · 532 |
Discriminant |
Eigenvalues |
2- -2 2 7- 11+ 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-327762,-87462908] |
[a1,a2,a3,a4,a6] |
Generators |
[17238:2253368:1] |
Generators of the group modulo torsion |
j |
-33098732111216017/8917556209408 |
j-invariant |
L |
8.2436427757822 |
L(r)(E,1)/r! |
Ω |
0.098382982391884 |
Real period |
R |
5.2369592885926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000189 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8162j1 |
Quadratic twists by: -7 |