Atkin-Lehner |
2+ 3- 5+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370l |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5714807891558400 = 217 · 37 · 52 · 192 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18875205,31568253525] |
[a1,a2,a3,a4,a6] |
Generators |
[2403:7893:1] |
Generators of the group modulo torsion |
j |
1020166899183740148832081/7839242649600 |
j-invariant |
L |
3.4001367705568 |
L(r)(E,1)/r! |
Ω |
0.2950178984209 |
Real period |
R |
2.8812970233016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001157 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26790z2 |
Quadratic twists by: -3 |