Atkin-Lehner |
5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28175y |
Isogeny class |
Conductor |
28175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
56160 |
Modular degree for the optimal curve |
Δ |
-1164419921875 = -1 · 59 · 72 · 233 |
Discriminant |
Eigenvalues |
2 2 5- 7- 0 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2042,-38557] |
[a1,a2,a3,a4,a6] |
Generators |
[2605016346:39755277445:11543176] |
Generators of the group modulo torsion |
j |
9834496/12167 |
j-invariant |
L |
15.199239563699 |
L(r)(E,1)/r! |
Ω |
0.46447155955523 |
Real period |
R |
16.361862476847 |
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 |
28175bf1 28175r1 |
Quadratic twists by: 5 -7 |