Atkin-Lehner |
2- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
126400cg |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2045050880000000 = 222 · 57 · 792 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -4 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-680033,-215608063] |
[a1,a2,a3,a4,a6] |
Generators |
[294880576741892391:-1495685584314042200:305868680511633] |
Generators of the group modulo torsion |
j |
8490912541201/499280 |
j-invariant |
L |
9.0460794062617 |
L(r)(E,1)/r! |
Ω |
0.16625263475611 |
Real period |
R |
27.205822908147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999920282 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126400m2 31600u2 25280v2 |
Quadratic twists by: -4 8 5 |