Atkin-Lehner |
3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775bv |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
3989975614453125 = 37 · 58 · 115 · 29 |
Discriminant |
Eigenvalues |
0 3- 5- -4 11- 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-552000,157825156] |
[a1,a2,a3,a4,a6] |
Generators |
[-644:15691:1] [-50:13612:1] |
Generators of the group modulo torsion |
j |
65321083863040/14011437 |
j-invariant |
L |
7.9629052968544 |
L(r)(E,1)/r! |
Ω |
0.42804008488396 |
Real period |
R |
0.62010588712587 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999779 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23925l1 71775bd1 |
Quadratic twists by: -3 5 |