Atkin-Lehner |
2- 5+ 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
70150k |
Isogeny class |
Conductor |
70150 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-371093500000 = -1 · 25 · 56 · 233 · 61 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 0 -2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10788,427781] |
[a1,a2,a3,a4,a6] |
Generators |
[81:265:1] |
Generators of the group modulo torsion |
j |
-8886464607097/23749984 |
j-invariant |
L |
15.441723346875 |
L(r)(E,1)/r! |
Ω |
0.95673518193025 |
Real period |
R |
3.2280036602452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000708 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2806c1 |
Quadratic twists by: 5 |