Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
85200bd |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
970481250000 = 24 · 37 · 58 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -1 4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13083,-578412] |
[a1,a2,a3,a4,a6] |
Generators |
[-534:351:8] |
Generators of the group modulo torsion |
j |
39627704320/155277 |
j-invariant |
L |
9.5858164066255 |
L(r)(E,1)/r! |
Ω |
0.44650087214777 |
Real period |
R |
3.0669645449358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42600x1 85200b1 |
Quadratic twists by: -4 5 |