Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
36400ca |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-13515065200 = -1 · 24 · 52 · 7 · 136 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 3 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-638,8143] |
[a1,a2,a3,a4,a6] |
Generators |
[633:2197:27] |
Generators of the group modulo torsion |
j |
-71912815360/33787663 |
j-invariant |
L |
4.1561248043955 |
L(r)(E,1)/r! |
Ω |
1.1736823657 |
Real period |
R |
1.7705492243283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9100c2 36400cn2 |
Quadratic twists by: -4 5 |