Atkin-Lehner |
2- 3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
42504z |
Isogeny class |
Conductor |
42504 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-938975160816 = -1 · 24 · 35 · 73 · 113 · 232 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- -5 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2060,-28963] |
[a1,a2,a3,a4,a6] |
Generators |
[302:5313:1] |
Generators of the group modulo torsion |
j |
60394105174784/58685947551 |
j-invariant |
L |
8.3665893464836 |
L(r)(E,1)/r! |
Ω |
0.48134823241575 |
Real period |
R |
0.096564293363301 |
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 |
85008c1 127512q1 |
Quadratic twists by: -4 -3 |