Atkin-Lehner |
2+ 3+ 7+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
29946d |
Isogeny class |
Conductor |
29946 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161920 |
Modular degree for the optimal curve |
Δ |
-223199545627296 = -1 · 25 · 311 · 74 · 232 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 3 -1 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4666,710196] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:590:1] |
Generators of the group modulo torsion |
j |
11230846087142807/223199545627296 |
j-invariant |
L |
2.3939972275901 |
L(r)(E,1)/r! |
Ω |
0.41799811239816 |
Real period |
R |
1.4318229894958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89838u1 |
Quadratic twists by: -3 |