Atkin-Lehner |
3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
30975v |
Isogeny class |
Conductor |
30975 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-735189459169921875 = -1 · 312 · 510 · 74 · 59 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-457251,-125994227] |
[a1,a2,a3,a4,a6] |
j |
-676653468930300961/47052125386875 |
j-invariant |
L |
4.3886924273271 |
L(r)(E,1)/r! |
Ω |
0.091431092235982 |
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 |
92925n3 6195e4 |
Quadratic twists by: -3 5 |