Atkin-Lehner |
2+ 3+ 5+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
29670c |
Isogeny class |
Conductor |
29670 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-307618560 = -1 · 28 · 35 · 5 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 3 -2 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,22,852] |
[a1,a2,a3,a4,a6] |
Generators |
[4:30:1] |
Generators of the group modulo torsion |
j |
1095912791/307618560 |
j-invariant |
L |
3.6799499720072 |
L(r)(E,1)/r! |
Ω |
1.3346876369797 |
Real period |
R |
1.3785809765702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89010ca1 |
Quadratic twists by: -3 |