Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14994k |
Isogeny class |
Conductor |
14994 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-37044611226 = -1 · 2 · 33 · 79 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 3 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8241,-286049] |
[a1,a2,a3,a4,a6] |
Generators |
[107:167:1] |
Generators of the group modulo torsion |
j |
-19486825371/11662 |
j-invariant |
L |
2.58018600291 |
L(r)(E,1)/r! |
Ω |
0.25052814444136 |
Real period |
R |
2.5747466503847 |
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 |
119952di1 14994bt2 2142b1 |
Quadratic twists by: -4 -3 -7 |