Atkin-Lehner |
3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75075bm |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-238275146484375 = -1 · 3 · 514 · 7 · 11 · 132 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,15124,198773] |
[a1,a2,a3,a4,a6] |
Generators |
[25861131:1974168998:3581577] |
Generators of the group modulo torsion |
j |
24487529386319/15249609375 |
j-invariant |
L |
10.303256222443 |
L(r)(E,1)/r! |
Ω |
0.34452851294936 |
Real period |
R |
14.952690176499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000233 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015f1 |
Quadratic twists by: 5 |