Atkin-Lehner |
2- 3+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
26448o |
Isogeny class |
Conductor |
26448 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9225216 |
Modular degree for the optimal curve |
Δ |
2.8088622138233E+23 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 4 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-406284120,3152080748016] |
[a1,a2,a3,a4,a6] |
Generators |
[7274:762622:1] |
Generators of the group modulo torsion |
j |
1810728381321177064113521881/68575737642171236352 |
j-invariant |
L |
3.5128574454345 |
L(r)(E,1)/r! |
Ω |
0.091459868749134 |
Real period |
R |
6.4014550743743 |
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 |
3306c1 105792bo1 79344bz1 |
Quadratic twists by: -4 8 -3 |