Atkin-Lehner |
2- 3+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
54978bs |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
4488074052 = 22 · 3 · 76 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9703,-371911] |
[a1,a2,a3,a4,a6] |
Generators |
[125384:1711665:512] |
Generators of the group modulo torsion |
j |
858729462625/38148 |
j-invariant |
L |
8.1326089895089 |
L(r)(E,1)/r! |
Ω |
0.48103200348021 |
Real period |
R |
8.4532930559672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000091 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1122l1 |
Quadratic twists by: -7 |