Atkin-Lehner |
2- 3+ 5- 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
30810bc |
Isogeny class |
Conductor |
30810 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-14803708959000000 = -1 · 26 · 38 · 56 · 134 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-45535,-6965563] |
[a1,a2,a3,a4,a6] |
Generators |
[605:-13992:1] |
Generators of the group modulo torsion |
j |
-10441438406944176241/14803708959000000 |
j-invariant |
L |
7.1395685651769 |
L(r)(E,1)/r! |
Ω |
0.15541822939944 |
Real period |
R |
1.2760494685793 |
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 |
92430j1 |
Quadratic twists by: -3 |