Atkin-Lehner |
5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
101675w |
Isogeny class |
Conductor |
101675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
185760 |
Modular degree for the optimal curve |
Δ |
-10944360546875 = -1 · 58 · 72 · 833 |
Discriminant |
Eigenvalues |
0 -1 5- 7- -3 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-18083,955443] |
[a1,a2,a3,a4,a6] |
Generators |
[93:263:1] |
Generators of the group modulo torsion |
j |
-34166702080/571787 |
j-invariant |
L |
3.0943935761766 |
L(r)(E,1)/r! |
Ω |
0.72072288762681 |
Real period |
R |
4.2934582233342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998951332 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101675l1 101675s1 |
Quadratic twists by: 5 -7 |