Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400br |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-6754082028750000 = -1 · 24 · 38 · 57 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18783,-4082562] |
[a1,a2,a3,a4,a6] |
Generators |
[213:1275:1] |
Generators of the group modulo torsion |
j |
-24918016/229635 |
j-invariant |
L |
7.0681931581354 |
L(r)(E,1)/r! |
Ω |
0.17825750545563 |
Real period |
R |
2.4782242478616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58800bf1 88200hb1 5880t1 4200d1 |
Quadratic twists by: -4 -3 5 -7 |