Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14994bw |
Isogeny class |
Conductor |
14994 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
1091785415989395456 = 224 · 313 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 2 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2947433,1947751593] |
[a1,a2,a3,a4,a6] |
Generators |
[863:6372:1] |
Generators of the group modulo torsion |
j |
1617840527930521321/623760113664 |
j-invariant |
L |
7.1076593337487 |
L(r)(E,1)/r! |
Ω |
0.27083165488959 |
Real period |
R |
0.091124402340225 |
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 |
119952dl1 4998b1 14994ct1 |
Quadratic twists by: -4 -3 -7 |