Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2346j |
Isogeny class |
Conductor |
2346 |
Conductor |
∏ cp |
153 |
Product of Tamagawa factors cp |
deg |
4896 |
Modular degree for the optimal curve |
Δ |
-1008737058816 = -1 · 217 · 39 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 4 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2488,-7104] |
[a1,a2,a3,a4,a6] |
Generators |
[112:-1352:1] |
Generators of the group modulo torsion |
j |
1703193262339967/1008737058816 |
j-invariant |
L |
4.4198777943625 |
L(r)(E,1)/r! |
Ω |
0.51368587836715 |
Real period |
R |
0.056236878169706 |
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 |
18768m1 75072e1 7038h1 58650j1 |
Quadratic twists by: -4 8 -3 5 |