Atkin-Lehner |
3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24255f |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1229760 |
Modular degree for the optimal curve |
Δ |
2.5602767624817E+21 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 11+ -5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5805618,4802394364] |
[a1,a2,a3,a4,a6] |
j |
2837428440956928/335693359375 |
j-invariant |
L |
0.27912190611279 |
L(r)(E,1)/r! |
Ω |
0.13956095305638 |
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 |
24255v2 121275q1 24255m1 |
Quadratic twists by: -3 5 -7 |