Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31850bl |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
2341950406250000 = 24 · 59 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-58826,-4978452] |
[a1,a2,a3,a4,a6] |
Generators |
[-164:596:1] |
Generators of the group modulo torsion |
j |
97972181/10192 |
j-invariant |
L |
2.7819516950713 |
L(r)(E,1)/r! |
Ω |
0.30861528917432 |
Real period |
R |
2.2535757240951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31850cp1 4550m1 |
Quadratic twists by: 5 -7 |