Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24843t |
Isogeny class |
Conductor |
24843 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-205102448582916339 = -1 · 34 · 79 · 137 |
Discriminant |
Eigenvalues |
2 3- -1 7- 2 13+ 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-218066,-44917141] |
[a1,a2,a3,a4,a6] |
Generators |
[35044:24811:64] |
Generators of the group modulo torsion |
j |
-2019487744/361179 |
j-invariant |
L |
12.298337509479 |
L(r)(E,1)/r! |
Ω |
0.10939935166754 |
Real period |
R |
3.5130285629037 |
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 |
74529bh1 3549a1 1911g1 |
Quadratic twists by: -3 -7 13 |