Atkin-Lehner |
2+ 3+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
2346d |
Isogeny class |
Conductor |
2346 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-8821260288 = -1 · 214 · 34 · 172 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 2 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-245,4653] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:83:1] |
Generators of the group modulo torsion |
j |
-1636774161625/8821260288 |
j-invariant |
L |
2.0436028590558 |
L(r)(E,1)/r! |
Ω |
1.1274263402184 |
Real period |
R |
0.90631324910328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18768z1 75072bt1 7038k1 58650by1 |
Quadratic twists by: -4 8 -3 5 |