Atkin-Lehner |
3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47025y |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
206400 |
Modular degree for the optimal curve |
Δ |
-120624215127075 = -1 · 311 · 52 · 11 · 195 |
Discriminant |
Eigenvalues |
2 3- 5+ -2 11+ -1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,12165,-111879] |
[a1,a2,a3,a4,a6] |
Generators |
[1604:29209:64] |
Generators of the group modulo torsion |
j |
10924272250880/6618612627 |
j-invariant |
L |
10.662220331254 |
L(r)(E,1)/r! |
Ω |
0.34203526658503 |
Real period |
R |
1.5586434167608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15675w1 47025bp2 |
Quadratic twists by: -3 5 |