Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440ep |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1397760 |
Modular degree for the optimal curve |
Δ |
-2.1563177468914E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1194288,496775536] |
[a1,a2,a3,a4,a6] |
Generators |
[-295:10899:1] |
Generators of the group modulo torsion |
j |
63090423356788736/72214645051395 |
j-invariant |
L |
7.2683781416704 |
L(r)(E,1)/r! |
Ω |
0.11824387646408 |
Real period |
R |
4.3906702214439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3465q1 18480cv1 |
Quadratic twists by: -4 -3 |