Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
30096bl |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-84519137083392 = -1 · 215 · 310 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,501,442298] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:594:1] |
Generators of the group modulo torsion |
j |
4657463/28305288 |
j-invariant |
L |
6.9949523062584 |
L(r)(E,1)/r! |
Ω |
0.4776515742547 |
Real period |
R |
1.8305582675962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3762n2 120384cr2 10032h2 |
Quadratic twists by: -4 8 -3 |