Atkin-Lehner |
2- 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
50320i |
Isogeny class |
Conductor |
50320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
556416 |
Modular degree for the optimal curve |
Δ |
-516317751190200320 = -1 · 213 · 5 · 173 · 376 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 0 -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-345176,-85254800] |
[a1,a2,a3,a4,a6] |
Generators |
[5300:383320:1] |
Generators of the group modulo torsion |
j |
-1110418778129340889/126054138474170 |
j-invariant |
L |
5.3178356165619 |
L(r)(E,1)/r! |
Ω |
0.097857346260153 |
Real period |
R |
2.2642805317322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999808 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6290b1 |
Quadratic twists by: -4 |