Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
24600bd |
Isogeny class |
Conductor |
24600 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-5164819200 = -1 · 28 · 39 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 5 -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-153,3483] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-54:1] |
Generators of the group modulo torsion |
j |
-62295040/807003 |
j-invariant |
L |
6.1432058120174 |
L(r)(E,1)/r! |
Ω |
1.1551881603657 |
Real period |
R |
0.2954403650317 |
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 |
49200e1 73800ba1 24600n1 |
Quadratic twists by: -4 -3 5 |