Atkin-Lehner |
2- 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124656cb |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3981312 |
Modular degree for the optimal curve |
Δ |
-282571715427434496 = -1 · 221 · 32 · 710 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 1 -2 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29198920,60739042288] |
[a1,a2,a3,a4,a6] |
Generators |
[3124:384:1] |
Generators of the group modulo torsion |
j |
-5713153642029363769/586381824 |
j-invariant |
L |
5.7941479255153 |
L(r)(E,1)/r! |
Ω |
0.23774010238195 |
Real period |
R |
1.5232358275811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000010338 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15582j1 17808w1 |
Quadratic twists by: -4 -7 |