Atkin-Lehner |
3+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47025a |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1861632 |
Modular degree for the optimal curve |
Δ |
-25108319091796875 = -1 · 39 · 514 · 11 · 19 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -4 11+ 3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9982575,-12139815094] |
[a1,a2,a3,a4,a6] |
Generators |
[134946120:69274638869:512] |
Generators of the group modulo torsion |
j |
-357717460495822848/81640625 |
j-invariant |
L |
2.2746533481059 |
L(r)(E,1)/r! |
Ω |
0.042467716317246 |
Real period |
R |
13.390485440284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999701 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47025e1 9405a1 |
Quadratic twists by: -3 5 |