Atkin-Lehner |
2- 5- 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
92720x |
Isogeny class |
Conductor |
92720 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-214220288000 = -1 · 212 · 53 · 193 · 61 |
Discriminant |
Eigenvalues |
2- -1 5- -1 2 -5 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,955,-19475] |
[a1,a2,a3,a4,a6] |
Generators |
[20:85:1] |
Generators of the group modulo torsion |
j |
23491948544/52299875 |
j-invariant |
L |
4.226891681864 |
L(r)(E,1)/r! |
Ω |
0.518029328497 |
Real period |
R |
2.719853518174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5795d1 |
Quadratic twists by: -4 |