Atkin-Lehner |
3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
103635x |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-336913806921307875 = -1 · 36 · 53 · 73 · 476 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-94268,30090106] |
[a1,a2,a3,a4,a6] |
Generators |
[6830:-629729:125] [-152:6470:1] |
Generators of the group modulo torsion |
j |
-370502057518767/1347401916125 |
j-invariant |
L |
6.0861433429044 |
L(r)(E,1)/r! |
Ω |
0.26598309401014 |
Real period |
R |
1.9068077006935 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999187 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11515g2 103635bh2 |
Quadratic twists by: -3 -7 |