Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200em |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-137984000000 = -1 · 214 · 56 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 11- -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2133,-42637] |
[a1,a2,a3,a4,a6] |
Generators |
[944486:12706519:4913] |
Generators of the group modulo torsion |
j |
-4194304/539 |
j-invariant |
L |
7.034749355204 |
L(r)(E,1)/r! |
Ω |
0.34873820516241 |
Real period |
R |
10.086003210399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200bo1 30800bb1 4928bg1 |
Quadratic twists by: -4 8 5 |