Atkin-Lehner |
3- 7- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
98637n |
Isogeny class |
Conductor |
98637 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
352512 |
Modular degree for the optimal curve |
Δ |
-2216483764803 = -1 · 33 · 72 · 112 · 614 |
Discriminant |
Eigenvalues |
2 3- -4 7- 11+ 1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,670,-71095] |
[a1,a2,a3,a4,a6] |
Generators |
[23432:122537:512] |
Generators of the group modulo torsion |
j |
677803298816/45234362547 |
j-invariant |
L |
11.558714445114 |
L(r)(E,1)/r! |
Ω |
0.39191265850253 |
Real period |
R |
2.4577573132068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012318 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98637a1 |
Quadratic twists by: -7 |