Atkin-Lehner |
3+ 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
75705d |
Isogeny class |
Conductor |
75705 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
767760 |
Modular degree for the optimal curve |
Δ |
-272765162315625 = -1 · 3 · 55 · 710 · 103 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 4 -6 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-410621,101108804] |
[a1,a2,a3,a4,a6] |
j |
-27106088193121/965625 |
j-invariant |
L |
0.51478937056697 |
L(r)(E,1)/r! |
Ω |
0.51478935193763 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75705v1 |
Quadratic twists by: -7 |