Atkin-Lehner |
2+ 3- 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
26130k |
Isogeny class |
Conductor |
26130 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-7974243164062500000 = -1 · 25 · 3 · 520 · 13 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,242501,127872422] |
[a1,a2,a3,a4,a6] |
Generators |
[-1973723682:-243609919048:23639903] |
Generators of the group modulo torsion |
j |
1577127803460832077911/7974243164062500000 |
j-invariant |
L |
3.343986062862 |
L(r)(E,1)/r! |
Ω |
0.16803465177497 |
Real period |
R |
9.950287120957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78390cb3 |
Quadratic twists by: -3 |