Atkin-Lehner |
3- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
110925w |
Isogeny class |
Conductor |
110925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-488555296875 = -1 · 37 · 56 · 17 · 292 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 3 -7 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3900,-99594] |
[a1,a2,a3,a4,a6] |
Generators |
[74:130:1] |
Generators of the group modulo torsion |
j |
-575930368/42891 |
j-invariant |
L |
3.9667739373377 |
L(r)(E,1)/r! |
Ω |
0.30077956295506 |
Real period |
R |
1.6485386754463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970144 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36975x1 4437d1 |
Quadratic twists by: -3 5 |