Atkin-Lehner |
3+ 5- 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
122475l |
Isogeny class |
Conductor |
122475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
598400 |
Modular degree for the optimal curve |
Δ |
8032857767578125 = 32 · 59 · 235 · 71 |
Discriminant |
Eigenvalues |
0 3+ 5- 0 3 -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-52333,1642068] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:2437:1] |
Generators of the group modulo torsion |
j |
8115753844736/4112823177 |
j-invariant |
L |
4.0954752291473 |
L(r)(E,1)/r! |
Ω |
0.36681805684799 |
Real period |
R |
2.7912170183609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042688 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122475y1 |
Quadratic twists by: 5 |