Atkin-Lehner |
2+ 3- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
70080x |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
238684631040000 = 215 · 37 · 54 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-95745,11346975] |
[a1,a2,a3,a4,a6] |
Generators |
[195:360:1] |
Generators of the group modulo torsion |
j |
2962283527425032/7284076875 |
j-invariant |
L |
9.5648620375995 |
L(r)(E,1)/r! |
Ω |
0.55790915550149 |
Real period |
R |
0.3061450168712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994539 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70080i2 35040j2 |
Quadratic twists by: -4 8 |