Atkin-Lehner |
2- 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
38710z |
Isogeny class |
Conductor |
38710 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
-6262968320 = -1 · 212 · 5 · 72 · 792 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 2 -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,349,3009] |
[a1,a2,a3,a4,a6] |
Generators |
[43:-338:1] |
Generators of the group modulo torsion |
j |
95923747199/127815680 |
j-invariant |
L |
6.2240378011829 |
L(r)(E,1)/r! |
Ω |
0.90306278588594 |
Real period |
R |
0.28717262236445 |
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 |
38710bf1 |
Quadratic twists by: -7 |