Atkin-Lehner |
2- 3+ 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
24426i |
Isogeny class |
Conductor |
24426 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-9923599872 = -1 · 29 · 33 · 233 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 3 -1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,325,-4309] |
[a1,a2,a3,a4,a6] |
Generators |
[39:238:1] |
Generators of the group modulo torsion |
j |
141013990125/367540736 |
j-invariant |
L |
9.1753178961321 |
L(r)(E,1)/r! |
Ω |
0.66456831034541 |
Real period |
R |
2.3010721780588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
24426a2 |
Quadratic twists by: -3 |