Atkin-Lehner |
3- 5+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
67425h |
Isogeny class |
Conductor |
67425 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
397440 |
Modular degree for the optimal curve |
Δ |
996757470703125 = 33 · 511 · 293 · 31 |
Discriminant |
Eigenvalues |
-2 3- 5+ 2 -2 3 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-25658,-450406] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:937:1] |
Generators of the group modulo torsion |
j |
119560855711744/63792478125 |
j-invariant |
L |
4.4498319063268 |
L(r)(E,1)/r! |
Ω |
0.40097531539674 |
Real period |
R |
0.92479340076291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994472 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13485a1 |
Quadratic twists by: 5 |