Atkin-Lehner |
2- 5+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
109040l |
Isogeny class |
Conductor |
109040 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
457782816931840 = 220 · 5 · 292 · 473 |
Discriminant |
Eigenvalues |
2- -3 5+ -3 -1 1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33043,-2070062] |
[a1,a2,a3,a4,a6] |
Generators |
[263:-2726:1] [-114:464:1] |
Generators of the group modulo torsion |
j |
974096931523689/111763383040 |
j-invariant |
L |
6.2910013698815 |
L(r)(E,1)/r! |
Ω |
0.35674989354681 |
Real period |
R |
1.469517226488 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000801 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13630b1 |
Quadratic twists by: -4 |