Atkin-Lehner |
2- 3+ 7+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
124236a |
Isogeny class |
Conductor |
124236 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
210816 |
Modular degree for the optimal curve |
Δ |
-14624203200768 = -1 · 28 · 39 · 7 · 17 · 293 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -5 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1431,185166] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1566:1] |
Generators of the group modulo torsion |
j |
-64314864/2902291 |
j-invariant |
L |
3.4850819714772 |
L(r)(E,1)/r! |
Ω |
0.58295151605973 |
Real period |
R |
0.33212996482225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999256296 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124236b1 |
Quadratic twists by: -3 |