Atkin-Lehner |
2- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
118354m |
Isogeny class |
Conductor |
118354 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1948800 |
Modular degree for the optimal curve |
Δ |
9984469757093828 = 22 · 17 · 598 |
Discriminant |
Eigenvalues |
2- 0 0 2 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4289245,3420228321] |
[a1,a2,a3,a4,a6] |
Generators |
[762319946454:54871275179487:129554216] |
Generators of the group modulo torsion |
j |
206896959473625/236708 |
j-invariant |
L |
10.251416098115 |
L(r)(E,1)/r! |
Ω |
0.34375780059746 |
Real period |
R |
14.910812288597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022646 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2006a1 |
Quadratic twists by: -59 |