Atkin-Lehner |
2+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100450n |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-30901245156250000 = -1 · 24 · 510 · 76 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 2 -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,78374,-450852] |
[a1,a2,a3,a4,a6] |
Generators |
[57:2021:1] [162:3981:1] |
Generators of the group modulo torsion |
j |
28962726911/16810000 |
j-invariant |
L |
5.8104386679726 |
L(r)(E,1)/r! |
Ω |
0.21999564302551 |
Real period |
R |
3.3014509902766 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996351 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20090j2 2050c2 |
Quadratic twists by: 5 -7 |