Atkin-Lehner |
2+ 3- 37- 61- |
Signs for the Atkin-Lehner involutions |
Class |
108336j |
Isogeny class |
Conductor |
108336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5200128 = 28 · 32 · 37 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 4 4 -6 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12036,504252] |
[a1,a2,a3,a4,a6] |
j |
753297223088464/20313 |
j-invariant |
L |
7.0617709197185 |
L(r)(E,1)/r! |
Ω |
1.7654426872606 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54168i2 |
Quadratic twists by: -4 |