Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30096p |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-66752446464 = -1 · 215 · 33 · 11 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 3 4 11- -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,549,11402] |
[a1,a2,a3,a4,a6] |
Generators |
[13:144:1] |
Generators of the group modulo torsion |
j |
165469149/603592 |
j-invariant |
L |
7.9031321149529 |
L(r)(E,1)/r! |
Ω |
0.78183903049047 |
Real period |
R |
1.263548474613 |
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 |
3762l1 120384ce1 30096l2 |
Quadratic twists by: -4 8 -3 |