Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350z |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
-709226453933593750 = -1 · 2 · 59 · 7 · 1110 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11- 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7625,40515875] |
[a1,a2,a3,a4,a6] |
Generators |
[104335:2744020:343] |
Generators of the group modulo torsion |
j |
-121/1750 |
j-invariant |
L |
6.8755050362918 |
L(r)(E,1)/r! |
Ω |
0.22848189177378 |
Real period |
R |
7.5230305812376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470bc1 42350bz1 |
Quadratic twists by: 5 -11 |