Atkin-Lehner |
2+ 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
20650o |
Isogeny class |
Conductor |
20650 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
30912 |
Modular degree for the optimal curve |
Δ |
-388712296000 = -1 · 26 · 53 · 77 · 59 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 3 -2 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2061,-47032] |
[a1,a2,a3,a4,a6] |
Generators |
[107:926:1] |
Generators of the group modulo torsion |
j |
-7740067156541/3109698368 |
j-invariant |
L |
2.7184239844883 |
L(r)(E,1)/r! |
Ω |
0.34742508056939 |
Real period |
R |
0.27944606277551 |
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 |
20650bb1 |
Quadratic twists by: 5 |