Atkin-Lehner |
2- 3- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
44370bo |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
7208960 |
Modular degree for the optimal curve |
Δ |
1379466766406250000 = 24 · 36 · 511 · 174 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 6 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-265499462,-1665046123451] |
[a1,a2,a3,a4,a6] |
Generators |
[200407:89309171:1] |
Generators of the group modulo torsion |
j |
2839142026487686715303377689/1892272656250000 |
j-invariant |
L |
11.23289873092 |
L(r)(E,1)/r! |
Ω |
0.037401036969337 |
Real period |
R |
3.4129154384798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4930c1 |
Quadratic twists by: -3 |