Atkin-Lehner |
2- 3+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
26544m |
Isogeny class |
Conductor |
26544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
951119511552 = 218 · 38 · 7 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 0 4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3640,71536] |
[a1,a2,a3,a4,a6] |
Generators |
[13:162:1] |
Generators of the group modulo torsion |
j |
1302528459961/232206912 |
j-invariant |
L |
2.9945932705874 |
L(r)(E,1)/r! |
Ω |
0.83980252775353 |
Real period |
R |
1.7829151327979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3318d1 106176cf1 79632bf1 |
Quadratic twists by: -4 8 -3 |