Atkin-Lehner |
2+ 3+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
26040c |
Isogeny class |
Conductor |
26040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
13724838220800 = 210 · 3 · 52 · 78 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-50400,4368252] |
[a1,a2,a3,a4,a6] |
Generators |
[149:380:1] |
Generators of the group modulo torsion |
j |
13826873251094404/13403162325 |
j-invariant |
L |
4.9932189615461 |
L(r)(E,1)/r! |
Ω |
0.70219573034909 |
Real period |
R |
3.5554324426494 |
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 |
52080t4 78120z4 |
Quadratic twists by: -4 -3 |