Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42588j |
Isogeny class |
Conductor |
42588 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-1260657455958561024 = -1 · 28 · 36 · 72 · 1310 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -2 13+ 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,257049,20049822] |
[a1,a2,a3,a4,a6] |
Generators |
[303:11214:1] |
Generators of the group modulo torsion |
j |
73008/49 |
j-invariant |
L |
7.3640333367969 |
L(r)(E,1)/r! |
Ω |
0.17122407523272 |
Real period |
R |
3.5840137778475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4732c1 42588v1 |
Quadratic twists by: -3 13 |