Atkin-Lehner |
2+ 3- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
50160m |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
4845568 |
Modular degree for the optimal curve |
Δ |
-1.3117836465901E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ -4 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7493771,9626093604] |
[a1,a2,a3,a4,a6] |
j |
-2908740915128499964708864/819864779118817432275 |
j-invariant |
L |
3.3480244733138 |
L(r)(E,1)/r! |
Ω |
0.11957230259752 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080m1 |
Quadratic twists by: -4 |