Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30096z |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.347030399891E+22 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 11+ -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6403821,3927296594] |
[a1,a2,a3,a4,a6] |
Generators |
[367:79542:1] |
Generators of the group modulo torsion |
j |
9726437216910146543/7860157321308534 |
j-invariant |
L |
3.0101137829237 |
L(r)(E,1)/r! |
Ω |
0.07743092502062 |
Real period |
R |
4.8593533238206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3762k2 120384dy2 10032k2 |
Quadratic twists by: -4 8 -3 |