Atkin-Lehner |
2+ 3+ 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
49590f |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-22744311791616000 = -1 · 224 · 39 · 53 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -6 5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,55875,5163461] |
[a1,a2,a3,a4,a6] |
Generators |
[4130:329711:125] |
Generators of the group modulo torsion |
j |
980123169959037/1155530752000 |
j-invariant |
L |
3.1945715278871 |
L(r)(E,1)/r! |
Ω |
0.25419872904752 |
Real period |
R |
3.1418051732896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49590bi1 |
Quadratic twists by: -3 |