Atkin-Lehner |
2- 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
30300c |
Isogeny class |
Conductor |
30300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-66266100000000 = -1 · 28 · 38 · 58 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10092,30312] |
[a1,a2,a3,a4,a6] |
Generators |
[78:1134:1] |
Generators of the group modulo torsion |
j |
28415310896/16566525 |
j-invariant |
L |
4.2575294749619 |
L(r)(E,1)/r! |
Ω |
0.37398002255594 |
Real period |
R |
1.8973961255399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121200ds2 90900i2 6060d2 |
Quadratic twists by: -4 -3 5 |