Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
23400i |
Isogeny class |
Conductor |
23400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
177409440000000 = 211 · 38 · 57 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45075,-3627250] |
[a1,a2,a3,a4,a6] |
j |
434163602/7605 |
j-invariant |
L |
2.6240203112036 |
L(r)(E,1)/r! |
Ω |
0.32800253890046 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46800s2 7800l2 4680p2 |
Quadratic twists by: -4 -3 5 |