Atkin-Lehner |
2+ 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
24150m |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
64300280625000000 = 26 · 34 · 510 · 74 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-676525,213548125] |
[a1,a2,a3,a4,a6] |
Generators |
[-635:20005:1] |
Generators of the group modulo torsion |
j |
2191574502231419089/4115217960000 |
j-invariant |
L |
3.6711030579748 |
L(r)(E,1)/r! |
Ω |
0.34933825725253 |
Real period |
R |
1.3135918346187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72450ec2 4830ba2 |
Quadratic twists by: -3 5 |