Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74480o |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
111104 |
Modular degree for the optimal curve |
Δ |
3925598888960 = 210 · 5 · 79 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 0 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9947,369754] |
[a1,a2,a3,a4,a6] |
Generators |
[85:372:1] |
Generators of the group modulo torsion |
j |
2634012/95 |
j-invariant |
L |
5.1868874343613 |
L(r)(E,1)/r! |
Ω |
0.77798734707887 |
Real period |
R |
3.3335294290496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37240k1 74480i1 |
Quadratic twists by: -4 -7 |