Atkin-Lehner |
2+ 3- 5- 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
42330o |
Isogeny class |
Conductor |
42330 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-10182078518400 = -1 · 27 · 33 · 52 · 175 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 1 5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2982,-139892] |
[a1,a2,a3,a4,a6] |
Generators |
[44:255:1] |
Generators of the group modulo torsion |
j |
2933972022568679/10182078518400 |
j-invariant |
L |
6.5211122918315 |
L(r)(E,1)/r! |
Ω |
0.36872844980365 |
Real period |
R |
2.9475676455575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126990bu1 |
Quadratic twists by: -3 |