Atkin-Lehner |
2+ 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22550o |
Isogeny class |
Conductor |
22550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-2423652352000 = -1 · 220 · 53 · 11 · 412 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,220,-74800] |
[a1,a2,a3,a4,a6] |
Generators |
[1165:39205:1] |
Generators of the group modulo torsion |
j |
9353919043/19389218816 |
j-invariant |
L |
4.7563573277927 |
L(r)(E,1)/r! |
Ω |
0.37880442302163 |
Real period |
R |
6.2781174647492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22550bf1 |
Quadratic twists by: 5 |