Atkin-Lehner |
2- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42050bg |
Isogeny class |
Conductor |
42050 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
705600 |
Modular degree for the optimal curve |
Δ |
-862493815450000000 = -1 · 27 · 58 · 297 |
Discriminant |
Eigenvalues |
2- 0 5- 0 2 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-834430,296973197] |
[a1,a2,a3,a4,a6] |
Generators |
[-181:21115:1] |
Generators of the group modulo torsion |
j |
-276531705/3712 |
j-invariant |
L |
9.2950690801745 |
L(r)(E,1)/r! |
Ω |
0.28206147189949 |
Real period |
R |
0.7846203421019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42050a1 1450d1 |
Quadratic twists by: 5 29 |