Atkin-Lehner |
2- 3+ 5- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
102510j |
Isogeny class |
Conductor |
102510 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
5726208 |
Modular degree for the optimal curve |
Δ |
2.519914960688E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5760212,-5264617289] |
[a1,a2,a3,a4,a6] |
Generators |
[-1339:7469:1] |
Generators of the group modulo torsion |
j |
782844094971715148001603/9333018372918476800 |
j-invariant |
L |
10.825816819185 |
L(r)(E,1)/r! |
Ω |
0.097522083902459 |
Real period |
R |
1.7345136723301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950832 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102510b1 |
Quadratic twists by: -3 |