Atkin-Lehner |
3+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
7011b |
Isogeny class |
Conductor |
7011 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1120 |
Modular degree for the optimal curve |
Δ |
-399627 = -1 · 33 · 192 · 41 |
Discriminant |
Eigenvalues |
-2 3+ 0 4 -5 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-15,-38] |
[a1,a2,a3,a4,a6] |
Generators |
[10:28:1] |
Generators of the group modulo torsion |
j |
-13824000/14801 |
j-invariant |
L |
2.350787254463 |
L(r)(E,1)/r! |
Ω |
1.1636648937334 |
Real period |
R |
0.50503956661463 |
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 |
112176m1 7011a1 |
Quadratic twists by: -4 -3 |