Atkin-Lehner |
2- 7+ 23- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
119462i |
Isogeny class |
Conductor |
119462 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1443840 |
Modular degree for the optimal curve |
Δ |
37340427607605248 = 220 · 74 · 234 · 53 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 1 7 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-227263,40631961] |
[a1,a2,a3,a4,a6] |
Generators |
[230:621:1] |
Generators of the group modulo torsion |
j |
540652079119140625/15552031490048 |
j-invariant |
L |
7.1980414989354 |
L(r)(E,1)/r! |
Ω |
0.3637677607332 |
Real period |
R |
0.24734330314251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999133308 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119462j1 |
Quadratic twists by: -7 |