Atkin-Lehner |
2- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
35770t |
Isogeny class |
Conductor |
35770 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
28080 |
Modular degree for the optimal curve |
Δ |
8588377000 = 23 · 53 · 76 · 73 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-736,-6567] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:23:1] |
Generators of the group modulo torsion |
j |
374805361/73000 |
j-invariant |
L |
7.5536820509792 |
L(r)(E,1)/r! |
Ω |
0.92902566955552 |
Real period |
R |
2.7102523638531 |
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 |
730k1 |
Quadratic twists by: -7 |