Atkin-Lehner |
2- 5- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
17380g |
Isogeny class |
Conductor |
17380 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
81600 |
Modular degree for the optimal curve |
Δ |
235647990050000 = 24 · 55 · 112 · 794 |
Discriminant |
Eigenvalues |
2- -2 5- -4 11- 0 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23925,1210000] |
[a1,a2,a3,a4,a6] |
Generators |
[140:790:1] |
Generators of the group modulo torsion |
j |
94662445766803456/14727999378125 |
j-invariant |
L |
2.5790195572652 |
L(r)(E,1)/r! |
Ω |
0.53332944311044 |
Real period |
R |
0.48356969422579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69520v1 86900h1 |
Quadratic twists by: -4 5 |