Atkin-Lehner |
2+ 3+ 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15510c |
Isogeny class |
Conductor |
15510 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52800 |
Modular degree for the optimal curve |
Δ |
-15629863265280 = -1 · 210 · 35 · 5 · 112 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11- -5 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3977,-214971] |
[a1,a2,a3,a4,a6] |
Generators |
[274:4263:1] |
Generators of the group modulo torsion |
j |
-6959228578599961/15629863265280 |
j-invariant |
L |
3.182452533629 |
L(r)(E,1)/r! |
Ω |
0.28118031871373 |
Real period |
R |
2.8295477330946 |
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 |
124080ce1 46530w1 77550bz1 |
Quadratic twists by: -4 -3 5 |