Atkin-Lehner |
2- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
5300g |
Isogeny class |
Conductor |
5300 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
3312 |
Modular degree for the optimal curve |
Δ |
8480000 = 28 · 54 · 53 |
Discriminant |
Eigenvalues |
2- -2 5- -5 1 2 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-933,10663] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-382:1] [-7:130:1] |
Generators of the group modulo torsion |
j |
561971200/53 |
j-invariant |
L |
3.4789158536103 |
L(r)(E,1)/r! |
Ω |
2.2238227654185 |
Real period |
R |
0.17382059936064 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21200z1 84800bf1 47700l1 5300c1 |
Quadratic twists by: -4 8 -3 5 |