Atkin-Lehner |
2- 3+ 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
15330q |
Isogeny class |
Conductor |
15330 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
157696 |
Modular degree for the optimal curve |
Δ |
5401089146880000 = 228 · 32 · 54 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-424641,106272063] |
[a1,a2,a3,a4,a6] |
Generators |
[-641:11072:1] |
Generators of the group modulo torsion |
j |
8468169606734482462609/5401089146880000 |
j-invariant |
L |
5.8016010082786 |
L(r)(E,1)/r! |
Ω |
0.42461465464818 |
Real period |
R |
0.97594387636774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122640cn1 45990z1 76650bg1 107310dg1 |
Quadratic twists by: -4 -3 5 -7 |