Atkin-Lehner |
3+ 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75075x |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15216 |
Modular degree for the optimal curve |
Δ |
-75075 = -1 · 3 · 52 · 7 · 11 · 13 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 11- 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-78,293] |
[a1,a2,a3,a4,a6] |
j |
-2126295040/3003 |
j-invariant |
L |
3.4403825020486 |
L(r)(E,1)/r! |
Ω |
3.4403824915798 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75075by1 |
Quadratic twists by: 5 |