Atkin-Lehner |
3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
26901o |
Isogeny class |
Conductor |
26901 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-1235482227 = -1 · 310 · 73 · 61 |
Discriminant |
Eigenvalues |
2 3- 2 7- 0 0 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,231,-1017] |
[a1,a2,a3,a4,a6] |
Generators |
[644:3055:64] |
Generators of the group modulo torsion |
j |
5451776/4941 |
j-invariant |
L |
12.638010685847 |
L(r)(E,1)/r! |
Ω |
0.84165173923273 |
Real period |
R |
3.7539311382425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8967j1 26901w1 |
Quadratic twists by: -3 -7 |