Atkin-Lehner |
3- 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
30195g |
Isogeny class |
Conductor |
30195 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-109927009151845875 = -1 · 37 · 53 · 116 · 613 |
Discriminant |
Eigenvalues |
0 3- 5+ 5 11- 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-219828,42757983] |
[a1,a2,a3,a4,a6] |
j |
-1611555289368887296/150791507752875 |
j-invariant |
L |
2.6088672526508 |
L(r)(E,1)/r! |
Ω |
0.32610840658094 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
10065k2 |
Quadratic twists by: -3 |