Atkin-Lehner |
2- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
103600ch |
Isogeny class |
Conductor |
103600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-517210935721984000 = -1 · 219 · 53 · 78 · 372 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93448,36337392] |
[a1,a2,a3,a4,a6] |
Generators |
[-108:6720:1] |
Generators of the group modulo torsion |
j |
-176265952176509/1010177608832 |
j-invariant |
L |
9.813881437011 |
L(r)(E,1)/r! |
Ω |
0.25354855003933 |
Real period |
R |
1.209566353257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12950i2 103600bv2 |
Quadratic twists by: -4 5 |