Atkin-Lehner |
2- 3- 29+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
31842t |
Isogeny class |
Conductor |
31842 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
49728 |
Modular degree for the optimal curve |
Δ |
-322214547456 = -1 · 212 · 36 · 29 · 612 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 1 5 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4007,102367] |
[a1,a2,a3,a4,a6] |
Generators |
[11:238:1] |
Generators of the group modulo torsion |
j |
-9757815386409/441995264 |
j-invariant |
L |
8.6248019687827 |
L(r)(E,1)/r! |
Ω |
0.95586142359946 |
Real period |
R |
0.37596113811771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3538c1 |
Quadratic twists by: -3 |