Atkin-Lehner |
2- 5- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
127100c |
Isogeny class |
Conductor |
127100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
3230882000 = 24 · 53 · 312 · 412 |
Discriminant |
Eigenvalues |
2- -2 5- -4 4 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2853,-59552] |
[a1,a2,a3,a4,a6] |
Generators |
[92:682:1] |
Generators of the group modulo torsion |
j |
1284550688768/1615441 |
j-invariant |
L |
4.0457712792397 |
L(r)(E,1)/r! |
Ω |
0.65327226926774 |
Real period |
R |
3.0965429632725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999560912 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127100b1 |
Quadratic twists by: 5 |