Atkin-Lehner |
2+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60760p |
Isogeny class |
Conductor |
60760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-134559457653241600 = -1 · 28 · 52 · 714 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -4 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-187980,35931328] |
[a1,a2,a3,a4,a6] |
j |
-24391176723664/4467720775 |
j-invariant |
L |
1.2614098625037 |
L(r)(E,1)/r! |
Ω |
0.31535246604224 |
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 |
121520s2 8680f2 |
Quadratic twists by: -4 -7 |