Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712da |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4915200 |
Modular degree for the optimal curve |
Δ |
6.5716301373693E+19 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 11- 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5350668,4747879440] |
[a1,a2,a3,a4,a6] |
Generators |
[1005:19635:1] |
Generators of the group modulo torsion |
j |
2393558463315519963/9284733153971 |
j-invariant |
L |
11.411744166004 |
L(r)(E,1)/r! |
Ω |
0.19684909489146 |
Real period |
R |
4.8310035587658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026708 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712d1 26928w1 107712cy1 |
Quadratic twists by: -4 8 -3 |