Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74480r |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-20655023594240 = -1 · 28 · 5 · 73 · 196 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 5 5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-117105,-15465157] |
[a1,a2,a3,a4,a6] |
Generators |
[11393625966206:277979454510941:14760213677] |
Generators of the group modulo torsion |
j |
-2022644931914752/235229405 |
j-invariant |
L |
9.3272735945915 |
L(r)(E,1)/r! |
Ω |
0.1290394074586 |
Real period |
R |
18.070591337736 |
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 |
37240u1 74480l1 |
Quadratic twists by: -4 -7 |