Atkin-Lehner |
2- 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
70700d |
Isogeny class |
Conductor |
70700 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-424376750000 = -1 · 24 · 56 · 75 · 101 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,667,-30412] |
[a1,a2,a3,a4,a6] |
Generators |
[113:1225:1] |
Generators of the group modulo torsion |
j |
131072000/1697507 |
j-invariant |
L |
6.8242148763936 |
L(r)(E,1)/r! |
Ω |
0.462636798943 |
Real period |
R |
0.49168987364427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2828a1 |
Quadratic twists by: 5 |