Atkin-Lehner |
2- 3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
60270t |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
Δ |
-687379367034773070 = -1 · 2 · 3 · 5 · 76 · 417 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 0 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-58900206,173965080729] |
[a1,a2,a3,a4,a6] |
j |
-192081665892474305747281/5842628216430 |
j-invariant |
L |
1.4702494767094 |
L(r)(E,1)/r! |
Ω |
0.21003563937344 |
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 |
1230k2 |
Quadratic twists by: -7 |