Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050cz |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
588107520 |
Modular degree for the optimal curve |
Δ |
-9.0073775020284E+32 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1733502026,1444234194341948] |
[a1,a2,a3,a4,a6] |
Generators |
[66882:40308496:1] |
Generators of the group modulo torsion |
j |
-1421509920358606969/2222549728809984000 |
j-invariant |
L |
6.3820164646044 |
L(r)(E,1)/r! |
Ω |
0.012686147562667 |
Real period |
R |
7.3980838970217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999258839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410bw1 127050if1 |
Quadratic twists by: 5 -11 |