Atkin-Lehner |
2+ 3- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
52998h |
Isogeny class |
Conductor |
52998 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
24714192286384128 = 218 · 36 · 116 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-113501,12616184] |
[a1,a2,a3,a4,a6] |
Generators |
[-381:958:1] |
Generators of the group modulo torsion |
j |
91276959390625/13950517248 |
j-invariant |
L |
5.0213625479812 |
L(r)(E,1)/r! |
Ω |
0.36215469861698 |
Real period |
R |
2.3108736713607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
438a1 |
Quadratic twists by: -11 |