Atkin-Lehner |
2+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270s |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
150989226241168000 = 27 · 53 · 73 · 317 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -3 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1386262,-628525996] |
[a1,a2,a3,a4,a6] |
Generators |
[-43468:-11901:64] [-677:846:1] |
Generators of the group modulo torsion |
j |
331963239764521/170128000 |
j-invariant |
L |
7.0508335382323 |
L(r)(E,1)/r! |
Ω |
0.1391398538608 |
Real period |
R |
1.4076232059914 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2170f1 |
Quadratic twists by: -31 |