Atkin-Lehner |
2+ 3+ 7- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
81774f |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
285696 |
Modular degree for the optimal curve |
Δ |
315757300733028 = 22 · 33 · 76 · 112 · 593 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20382,728640] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:1326:1] |
Generators of the group modulo torsion |
j |
34682654155570875/11694714841964 |
j-invariant |
L |
3.9620907521925 |
L(r)(E,1)/r! |
Ω |
0.50045879478681 |
Real period |
R |
1.9792292564997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973094 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
81774bn3 |
Quadratic twists by: -3 |