Atkin-Lehner |
2+ 3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550cn |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1889280 |
Modular degree for the optimal curve |
Δ |
-303436847279632500 = -1 · 22 · 36 · 54 · 74 · 375 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -6 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,32508,26398516] |
[a1,a2,a3,a4,a6] |
Generators |
[354:8888:1] [-136:4478:1] |
Generators of the group modulo torsion |
j |
8338336259375/665979363028 |
j-invariant |
L |
8.5793400427478 |
L(r)(E,1)/r! |
Ω |
0.23449612913861 |
Real period |
R |
0.30488563114055 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003328 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12950p1 116550er1 |
Quadratic twists by: -3 5 |