Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410ct |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
326977567382812500 = 22 · 33 · 512 · 7 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-527260,144727100] |
[a1,a2,a3,a4,a6] |
Generators |
[620:7190:1] |
Generators of the group modulo torsion |
j |
9150443179640281/184570312500 |
j-invariant |
L |
10.252889756667 |
L(r)(E,1)/r! |
Ω |
0.30479789900151 |
Real period |
R |
0.93439782286476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76230t5 127050bf5 210b4 |
Quadratic twists by: -3 5 -11 |