Atkin-Lehner |
2- 3+ 5- 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
30810y |
Isogeny class |
Conductor |
30810 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
646988656803840 = 220 · 32 · 5 · 133 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-29025,-1469793] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:536:1] |
Generators of the group modulo torsion |
j |
2704215716590899601/646988656803840 |
j-invariant |
L |
8.0222712870282 |
L(r)(E,1)/r! |
Ω |
0.37212025028298 |
Real period |
R |
1.0779138303986 |
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 |
92430d1 |
Quadratic twists by: -3 |