Atkin-Lehner |
3- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22425o |
Isogeny class |
Conductor |
22425 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-97891475830078125 = -1 · 3 · 513 · 133 · 233 |
Discriminant |
Eigenvalues |
1 3- 5+ -3 5 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,62374,13812773] |
[a1,a2,a3,a4,a6] |
Generators |
[413:10284:1] |
Generators of the group modulo torsion |
j |
1717609695162479/6265054453125 |
j-invariant |
L |
6.8213739490768 |
L(r)(E,1)/r! |
Ω |
0.23947479644927 |
Real period |
R |
4.7474543251999 |
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 |
67275u1 4485c1 |
Quadratic twists by: -3 5 |