Atkin-Lehner |
2+ 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
23310h |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-39650310000 = -1 · 24 · 37 · 54 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,720,-6224] |
[a1,a2,a3,a4,a6] |
Generators |
[20:116:1] |
Generators of the group modulo torsion |
j |
56578878719/54390000 |
j-invariant |
L |
3.1392467955378 |
L(r)(E,1)/r! |
Ω |
0.62716533873105 |
Real period |
R |
0.62568165874119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7770r1 116550ep1 |
Quadratic twists by: -3 5 |