Atkin-Lehner |
2+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
61504b |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
714240 |
Modular degree for the optimal curve |
Δ |
55895067029733376 = 216 · 318 |
Discriminant |
Eigenvalues |
2+ 1 3 5 -1 -1 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-278049,55181759] |
[a1,a2,a3,a4,a6] |
Generators |
[-2305:970688:125] |
Generators of the group modulo torsion |
j |
42532 |
j-invariant |
L |
10.889361357033 |
L(r)(E,1)/r! |
Ω |
0.35258440598741 |
Real period |
R |
7.7211025021556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998818 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61504bh1 7688f1 61504r1 |
Quadratic twists by: -4 8 -31 |