Atkin-Lehner |
2- 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
4588h |
Isogeny class |
Conductor |
4588 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6624 |
Modular degree for the optimal curve |
Δ |
9102592 = 28 · 312 · 37 |
Discriminant |
Eigenvalues |
2- -3 -4 1 -1 -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3112,66820] |
[a1,a2,a3,a4,a6] |
Generators |
[30996:-248186:343] [8:206:1] |
Generators of the group modulo torsion |
j |
13019746000896/35557 |
j-invariant |
L |
2.7089010058799 |
L(r)(E,1)/r! |
Ω |
2.006022514953 |
Real period |
R |
0.22506402476299 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18352j1 73408p1 41292k1 114700l1 |
Quadratic twists by: -4 8 -3 5 |