Atkin-Lehner |
2+ 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
70720s |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1250329600000000 = -1 · 216 · 58 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -2 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,255,1701343] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-1360:1] [-19:1300:1] |
Generators of the group modulo torsion |
j |
27871484/19078515625 |
j-invariant |
L |
7.5753324439546 |
L(r)(E,1)/r! |
Ω |
0.38429762955872 |
Real period |
R |
0.61600468143835 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999895 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720bm2 8840c2 |
Quadratic twists by: -4 8 |