Atkin-Lehner |
2+ 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24650c |
Isogeny class |
Conductor |
24650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80256 |
Modular degree for the optimal curve |
Δ |
-31747067084800 = -1 · 219 · 52 · 174 · 29 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 -2 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2590,267380] |
[a1,a2,a3,a4,a6] |
Generators |
[182:4565:8] |
Generators of the group modulo torsion |
j |
76810566358895/1269882683392 |
j-invariant |
L |
5.9459263689299 |
L(r)(E,1)/r! |
Ω |
0.48979131538274 |
Real period |
R |
6.0698568780088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24650bn1 |
Quadratic twists by: 5 |