Atkin-Lehner |
2+ 3- 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
20010i |
Isogeny class |
Conductor |
20010 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
7148643285375000 = 23 · 35 · 56 · 234 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 6 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-50319,1521226] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:2433:1] |
Generators of the group modulo torsion |
j |
14089880519208782569/7148643285375000 |
j-invariant |
L |
4.4606927698555 |
L(r)(E,1)/r! |
Ω |
0.37033074915862 |
Real period |
R |
1.2045159036861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60030bs2 100050bu2 |
Quadratic twists by: -3 5 |