Atkin-Lehner |
3- 7- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
70707p |
Isogeny class |
Conductor |
70707 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-81658170867 = -1 · 3 · 76 · 132 · 372 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -2 13- 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,293,-13588] |
[a1,a2,a3,a4,a6] |
Generators |
[103:1003:1] |
Generators of the group modulo torsion |
j |
23639903/694083 |
j-invariant |
L |
6.2051733058789 |
L(r)(E,1)/r! |
Ω |
0.52233341770806 |
Real period |
R |
2.9699293088124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001589 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1443c2 |
Quadratic twists by: -7 |