Atkin-Lehner |
2+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24794l |
Isogeny class |
Conductor |
24794 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
153064183298059264 = 210 · 79 · 115 · 23 |
Discriminant |
Eigenvalues |
2+ 1 1 7- 11- 1 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3696733,-2735985416] |
[a1,a2,a3,a4,a6] |
Generators |
[2258:19622:1] |
Generators of the group modulo torsion |
j |
138450789390844783/3793073152 |
j-invariant |
L |
5.0645848423846 |
L(r)(E,1)/r! |
Ω |
0.10887941068417 |
Real period |
R |
2.3257771191817 |
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 |
24794n1 |
Quadratic twists by: -7 |