Atkin-Lehner |
5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1225g |
Isogeny class |
Conductor |
1225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
-95703125 = -1 · 59 · 72 |
Discriminant |
Eigenvalues |
1 1 5- 7- 0 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-201,1173] |
[a1,a2,a3,a4,a6] |
Generators |
[27:111:1] |
Generators of the group modulo torsion |
j |
-9317 |
j-invariant |
L |
3.4778775075699 |
L(r)(E,1)/r! |
Ω |
1.8493841017576 |
Real period |
R |
0.94027993002228 |
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 |
19600dv1 78400eu1 11025bl1 1225h1 |
Quadratic twists by: -4 8 -3 5 |