Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
98568w |
Isogeny class |
Conductor |
98568 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
700416 |
Modular degree for the optimal curve |
Δ |
9965568733913808 = 24 · 38 · 377 |
Discriminant |
Eigenvalues |
2- 3- 4 0 0 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-139638,19501405] |
[a1,a2,a3,a4,a6] |
Generators |
[7770:47915:27] |
Generators of the group modulo torsion |
j |
10061824/333 |
j-invariant |
L |
9.361949979341 |
L(r)(E,1)/r! |
Ω |
0.40532708267621 |
Real period |
R |
2.8871590260645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018463 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32856h1 2664d1 |
Quadratic twists by: -3 37 |