Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350bz |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-400339843750 = -1 · 2 · 59 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-63,-30469] |
[a1,a2,a3,a4,a6] |
Generators |
[2100:3043:64] |
Generators of the group modulo torsion |
j |
-121/1750 |
j-invariant |
L |
12.338401777151 |
L(r)(E,1)/r! |
Ω |
0.43174997486671 |
Real period |
R |
2.3814712401856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470o1 42350z1 |
Quadratic twists by: 5 -11 |