Atkin-Lehner |
2+ 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
20680c |
Isogeny class |
Conductor |
20680 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
211200 |
Modular degree for the optimal curve |
Δ |
-195365250762880000 = -1 · 210 · 54 · 113 · 475 |
Discriminant |
Eigenvalues |
2+ -2 5- 1 11+ -1 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56440,21864288] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:4700:1] |
Generators of the group modulo torsion |
j |
-19417462071452644/190786377698125 |
j-invariant |
L |
3.9447801531981 |
L(r)(E,1)/r! |
Ω |
0.27147701633155 |
Real period |
R |
0.36327017720539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41360g1 103400v1 |
Quadratic twists by: -4 5 |