Atkin-Lehner |
3+ 7- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
80997h |
Isogeny class |
Conductor |
80997 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24330240 |
Modular degree for the optimal curve |
Δ |
3.7336459932249E+26 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 0 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-222582599,877073639420] |
[a1,a2,a3,a4,a6] |
Generators |
[4565563275908440:406139023589619061:257138126279] |
Generators of the group modulo torsion |
j |
10365949761029660215992673/3173546730720072686553 |
j-invariant |
L |
2.535776964232 |
L(r)(E,1)/r! |
Ω |
0.049671911233673 |
Real period |
R |
25.525260683392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939601 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11571j1 |
Quadratic twists by: -7 |