Atkin-Lehner |
2- 3- 5+ 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
42090r |
Isogeny class |
Conductor |
42090 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
43520 |
Modular degree for the optimal curve |
Δ |
-66201845760 = -1 · 220 · 32 · 5 · 23 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,974,-3964] |
[a1,a2,a3,a4,a6] |
Generators |
[8:62:1] |
Generators of the group modulo torsion |
j |
102181603702751/66201845760 |
j-invariant |
L |
10.9608079031 |
L(r)(E,1)/r! |
Ω |
0.62950572757757 |
Real period |
R |
1.7411768349234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126270t1 |
Quadratic twists by: -3 |