Atkin-Lehner |
3+ 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
25641d |
Isogeny class |
Conductor |
25641 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
-55185252507 = -1 · 33 · 73 · 115 · 37 |
Discriminant |
Eigenvalues |
-2 3+ 0 7- 11- 0 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1455,-24168] |
[a1,a2,a3,a4,a6] |
Generators |
[122:1270:1] |
Generators of the group modulo torsion |
j |
-12616791552000/2043898241 |
j-invariant |
L |
2.8696455579554 |
L(r)(E,1)/r! |
Ω |
0.38309707671915 |
Real period |
R |
0.24968828462758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25641b1 |
Quadratic twists by: -3 |