Atkin-Lehner |
3- 5- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
30195q |
Isogeny class |
Conductor |
30195 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
9010410586216875 = 37 · 54 · 116 · 612 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 11- -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-74777,6428526] |
[a1,a2,a3,a4,a6] |
Generators |
[-234:3444:1] [-124:3774:1] |
Generators of the group modulo torsion |
j |
63430020487789129/12359959651875 |
j-invariant |
L |
5.2929876747172 |
L(r)(E,1)/r! |
Ω |
0.39009120260672 |
Real period |
R |
0.56535792563246 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10065a2 |
Quadratic twists by: -3 |