Atkin-Lehner |
3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
30975x |
Isogeny class |
Conductor |
30975 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
263520 |
Modular degree for the optimal curve |
Δ |
5762801953125 = 36 · 58 · 73 · 59 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 6 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-844333,298338619] |
[a1,a2,a3,a4,a6] |
j |
170414083271557120/14752773 |
j-invariant |
L |
3.4847347440153 |
L(r)(E,1)/r! |
Ω |
0.58078912400284 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
92925bp1 30975b1 |
Quadratic twists by: -3 5 |