Atkin-Lehner |
3+ 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
75075g |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-2577183984375 = -1 · 3 · 58 · 7 · 11 · 134 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1600,73875] |
[a1,a2,a3,a4,a6] |
j |
28962726911/164939775 |
j-invariant |
L |
2.3449043262498 |
L(r)(E,1)/r! |
Ω |
0.5862260799996 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015l1 |
Quadratic twists by: 5 |