Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
1880b |
Isogeny class |
Conductor |
1880 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
400 |
Modular degree for the optimal curve |
Δ |
-37600000 = -1 · 28 · 55 · 47 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 0 5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-105,475] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-50:1] |
Generators of the group modulo torsion |
j |
-504871936/146875 |
j-invariant |
L |
2.201938132807 |
L(r)(E,1)/r! |
Ω |
1.9458206168086 |
Real period |
R |
0.056581221151273 |
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 |
3760c1 15040f1 16920l1 9400j1 |
Quadratic twists by: -4 8 -3 5 |