Atkin-Lehner |
3+ 7- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44289a |
Isogeny class |
Conductor |
44289 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
319680 |
Modular degree for the optimal curve |
Δ |
-17280746901746307 = -1 · 39 · 7 · 195 · 373 |
Discriminant |
Eigenvalues |
2 3+ 0 7- -2 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2025,-6324595] |
[a1,a2,a3,a4,a6] |
Generators |
[297480:7075553:512] |
Generators of the group modulo torsion |
j |
46656000000/877952898529 |
j-invariant |
L |
12.059997997333 |
L(r)(E,1)/r! |
Ω |
0.17967453022781 |
Real period |
R |
6.7121355386582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44289b1 |
Quadratic twists by: -3 |