Atkin-Lehner |
2- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
35770bf |
Isogeny class |
Conductor |
35770 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-53677356250 = -1 · 2 · 55 · 76 · 73 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 0 4 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,930,2645] |
[a1,a2,a3,a4,a6] |
Generators |
[174:1379:8] |
Generators of the group modulo torsion |
j |
756058031/456250 |
j-invariant |
L |
13.515709882499 |
L(r)(E,1)/r! |
Ω |
0.68758412623693 |
Real period |
R |
1.9656809060542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
730h1 |
Quadratic twists by: -7 |