Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
30600ci |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3370896000000 = -1 · 210 · 36 · 56 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 6 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3525,-36250] |
[a1,a2,a3,a4,a6] |
j |
415292/289 |
j-invariant |
L |
3.5869645204773 |
L(r)(E,1)/r! |
Ω |
0.44837056505966 |
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 |
61200bw2 3400c2 1224b2 |
Quadratic twists by: -4 -3 5 |