Atkin-Lehner |
5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
20825u |
Isogeny class |
Conductor |
20825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1976832 |
Modular degree for the optimal curve |
Δ |
-5.2338510055542E+20 |
Discriminant |
Eigenvalues |
2 2 5+ 7- 2 -1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-12245508,-16526124707] |
[a1,a2,a3,a4,a6] |
Generators |
[33709792896109953408382280772776:1490711223660920779354473724536691:6690858326421450038475770368] |
Generators of the group modulo torsion |
j |
-110470393399988224/284716796875 |
j-invariant |
L |
14.071154513256 |
L(r)(E,1)/r! |
Ω |
0.040346726560062 |
Real period |
R |
43.594473805418 |
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 |
4165l1 2975c1 |
Quadratic twists by: 5 -7 |