Atkin-Lehner |
3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1575a |
Isogeny class |
Conductor |
1575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
-2583984375 = -1 · 33 · 59 · 72 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 0 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,258,1791] |
[a1,a2,a3,a4,a6] |
j |
35937/49 |
j-invariant |
L |
1.9475049127377 |
L(r)(E,1)/r! |
Ω |
0.97375245636887 |
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 |
25200di1 100800bo1 1575b1 1575d1 |
Quadratic twists by: -4 8 -3 5 |