Atkin-Lehner |
2- 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
98880bq |
Isogeny class |
Conductor |
98880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-559889252352000 = -1 · 229 · 34 · 53 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -5 3 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2239,-1136961] |
[a1,a2,a3,a4,a6] |
Generators |
[97:48:1] |
Generators of the group modulo torsion |
j |
4733169839/2135808000 |
j-invariant |
L |
7.0822177664755 |
L(r)(E,1)/r! |
Ω |
0.24267947585183 |
Real period |
R |
3.6479278531673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016464 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98880g1 24720n1 |
Quadratic twists by: -4 8 |