Atkin-Lehner |
2- 5- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
50320r |
Isogeny class |
Conductor |
50320 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-268977710080000 = -1 · 213 · 54 · 175 · 37 |
Discriminant |
Eigenvalues |
2- -2 5- -1 2 -5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6920,-821900] |
[a1,a2,a3,a4,a6] |
Generators |
[118:136:1] [220:-2890:1] |
Generators of the group modulo torsion |
j |
-8948387971081/65668386250 |
j-invariant |
L |
7.2540587424129 |
L(r)(E,1)/r! |
Ω |
0.23166467984308 |
Real period |
R |
0.39140940406442 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6290f1 |
Quadratic twists by: -4 |