Atkin-Lehner |
2- 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70602bc |
Isogeny class |
Conductor |
70602 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-22977985716 = -1 · 22 · 35 · 73 · 413 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 2 -1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4340,-110652] |
[a1,a2,a3,a4,a6] |
Generators |
[304:5014:1] |
Generators of the group modulo torsion |
j |
-131173946441/333396 |
j-invariant |
L |
13.606031481914 |
L(r)(E,1)/r! |
Ω |
0.29405629617792 |
Real period |
R |
2.3135079332979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000763 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70602r1 |
Quadratic twists by: 41 |