Atkin-Lehner |
2- 5- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
102410cq |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-7330955782304000 = -1 · 28 · 53 · 77 · 114 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11- -4 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,44295,2041927] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:266:1] [97:2646:1] |
Generators of the group modulo torsion |
j |
81695658425471/62312096000 |
j-invariant |
L |
14.742119474143 |
L(r)(E,1)/r! |
Ω |
0.26791737427589 |
Real period |
R |
0.14329393992769 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988296 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14630n1 |
Quadratic twists by: -7 |