Atkin-Lehner |
2- 3+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
116178r |
Isogeny class |
Conductor |
116178 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
7696193973250176 = 27 · 37 · 177 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 1 -7 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-59251,-3630415] |
[a1,a2,a3,a4,a6] |
Generators |
[-203:390:1] [-101:1206:1] |
Generators of the group modulo torsion |
j |
953054410321/318847104 |
j-invariant |
L |
14.59083423969 |
L(r)(E,1)/r! |
Ω |
0.3142446177271 |
Real period |
R |
1.6582661830962 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6834t1 |
Quadratic twists by: 17 |