Atkin-Lehner |
2- 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48314p |
Isogeny class |
Conductor |
48314 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-14848244992 = -1 · 28 · 76 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 0 2 7- 0 1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34,-5855] |
[a1,a2,a3,a4,a6] |
Generators |
[25:79:1] |
Generators of the group modulo torsion |
j |
-35937/126208 |
j-invariant |
L |
10.532040407029 |
L(r)(E,1)/r! |
Ω |
0.56586310195551 |
Real period |
R |
2.3265433747629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
986f1 |
Quadratic twists by: -7 |