Atkin-Lehner |
2+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23534j |
Isogeny class |
Conductor |
23534 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5785920 |
Modular degree for the optimal curve |
Δ |
-1.9704549772323E+23 |
Discriminant |
Eigenvalues |
2+ -3 2 7+ 2 3 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3355591,21488543677] |
[a1,a2,a3,a4,a6] |
Generators |
[25329287022632512461:-1841957541968980024358:5030184234804821] |
Generators of the group modulo torsion |
j |
-311309433/14680064 |
j-invariant |
L |
2.7484637888428 |
L(r)(E,1)/r! |
Ω |
0.083413756417112 |
Real period |
R |
32.949766404225 |
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 |
23534q1 |
Quadratic twists by: 41 |