Atkin-Lehner |
2- 3- 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650di |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
4930560 |
Modular degree for the optimal curve |
Δ |
1.1242330156471E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -3 -7 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2554913,-1563767223] |
[a1,a2,a3,a4,a6] |
Generators |
[2428:79705:1] [-932:3307:1] |
Generators of the group modulo torsion |
j |
73775483160910511085625/449693206258839552 |
j-invariant |
L |
18.967936401783 |
L(r)(E,1)/r! |
Ω |
0.11945792696061 |
Real period |
R |
0.33079876036367 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004099 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127650r1 |
Quadratic twists by: 5 |