Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30096y |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-59910782976 = -1 · 217 · 37 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 11+ 0 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-939,-16166] |
[a1,a2,a3,a4,a6] |
Generators |
[53:288:1] |
Generators of the group modulo torsion |
j |
-30664297/20064 |
j-invariant |
L |
3.1137935966547 |
L(r)(E,1)/r! |
Ω |
0.41892436458489 |
Real period |
R |
0.92910375353201 |
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 |
3762r1 120384dx1 10032r1 |
Quadratic twists by: -4 8 -3 |