Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680cb |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3254446921017600 = 28 · 36 · 52 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37060,-74108] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:1350:1] |
Generators of the group modulo torsion |
j |
186906097744/108056025 |
j-invariant |
L |
6.1912635407429 |
L(r)(E,1)/r! |
Ω |
0.37641489913575 |
Real period |
R |
2.0559971041285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000245 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
129360co2 9240be2 |
Quadratic twists by: -4 -7 |