Atkin-Lehner |
2+ 3- 37- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
118992j |
Isogeny class |
Conductor |
118992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
-127559424 = -1 · 28 · 3 · 37 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52,-580] |
[a1,a2,a3,a4,a6] |
Generators |
[21525543:-58396870:1601613] |
Generators of the group modulo torsion |
j |
-61918288/498279 |
j-invariant |
L |
9.7764444301556 |
L(r)(E,1)/r! |
Ω |
0.78169561022002 |
Real period |
R |
12.506715220043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045391 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59496e1 |
Quadratic twists by: -4 |