Atkin-Lehner |
2+ 3- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73950bk |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
11280384 |
Modular degree for the optimal curve |
Δ |
-8.2304005576851E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13042901,-47265235552] |
[a1,a2,a3,a4,a6] |
Generators |
[2933034033667911:313190575208018638:228884003613] |
Generators of the group modulo torsion |
j |
-15704576585970029529409/52674563569184931840 |
j-invariant |
L |
4.6214059107047 |
L(r)(E,1)/r! |
Ω |
0.03653850667023 |
Real period |
R |
15.810053323517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000347 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790n1 |
Quadratic twists by: 5 |