Atkin-Lehner |
3+ 7- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
103341j |
Isogeny class |
Conductor |
103341 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
-1736852187 = -1 · 3 · 77 · 19 · 37 |
Discriminant |
Eigenvalues |
-2 3+ 0 7- 2 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1388,20474] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-25:1] |
Generators of the group modulo torsion |
j |
-2515456000/14763 |
j-invariant |
L |
1.778736946539 |
L(r)(E,1)/r! |
Ω |
1.4994700952081 |
Real period |
R |
0.29656091783546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000200884 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14763f1 |
Quadratic twists by: -7 |