Atkin-Lehner |
3+ 5+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
43725a |
Isogeny class |
Conductor |
43725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
6656506119140625 = 312 · 59 · 112 · 53 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-70275,-6030000] |
[a1,a2,a3,a4,a6] |
Generators |
[-100:150:1] |
Generators of the group modulo torsion |
j |
2456495116247089/426016391625 |
j-invariant |
L |
4.3881882651563 |
L(r)(E,1)/r! |
Ω |
0.29669896974498 |
Real period |
R |
3.697508849574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999776 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8745g1 |
Quadratic twists by: 5 |