Atkin-Lehner |
2- 3+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52080bp |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-50396774400000000 = -1 · 220 · 34 · 58 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12320,-10809600] |
[a1,a2,a3,a4,a6] |
Generators |
[290:3150:1] |
Generators of the group modulo torsion |
j |
-50492995771681/12303900000000 |
j-invariant |
L |
4.7116954738802 |
L(r)(E,1)/r! |
Ω |
0.15912635503119 |
Real period |
R |
0.92530545004671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000158 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510z1 |
Quadratic twists by: -4 |