Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
74592l |
Isogeny class |
Conductor |
74592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2313156197304594432 = 212 · 316 · 7 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 6 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-629715180,-6082251265568] |
[a1,a2,a3,a4,a6] |
Generators |
[2956181989807659817222:4294340384449779587627532:1400679872941103] |
Generators of the group modulo torsion |
j |
9248445115714516474216000/774671330223 |
j-invariant |
L |
7.0283388336704 |
L(r)(E,1)/r! |
Ω |
0.030137936537336 |
Real period |
R |
29.150713526698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991247 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74592bb2 24864y2 |
Quadratic twists by: -4 -3 |