Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
74480x |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-116784640000 = -1 · 212 · 54 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -1 2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1568,-29008] |
[a1,a2,a3,a4,a6] |
Generators |
[49063:560825:343] |
Generators of the group modulo torsion |
j |
-43352064/11875 |
j-invariant |
L |
5.5347513726532 |
L(r)(E,1)/r! |
Ω |
0.37401164189967 |
Real period |
R |
7.3991699076959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001643 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4655a1 74480cc1 |
Quadratic twists by: -4 -7 |