Atkin-Lehner |
2+ 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
104430i |
Isogeny class |
Conductor |
104430 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12055680 |
Modular degree for the optimal curve |
Δ |
1.7696469896826E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -4 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-27623577,-55525266459] |
[a1,a2,a3,a4,a6] |
Generators |
[-6274671:23066373:2197] |
Generators of the group modulo torsion |
j |
669667863994309843524481/5083731656658000000 |
j-invariant |
L |
2.6796522789438 |
L(r)(E,1)/r! |
Ω |
0.06588375539752 |
Real period |
R |
3.389368995003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999444675 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104430w1 |
Quadratic twists by: -59 |