Atkin-Lehner |
2+ 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
55470a |
Isogeny class |
Conductor |
55470 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
1022423040 = 212 · 33 · 5 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -5 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-253,-323] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:35:1] [-3:22:1] |
Generators of the group modulo torsion |
j |
974603041/552960 |
j-invariant |
L |
5.7950444135278 |
L(r)(E,1)/r! |
Ω |
1.2915952417261 |
Real period |
R |
2.2433670496442 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55470bh1 |
Quadratic twists by: -43 |