Atkin-Lehner |
2+ 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
93024k |
Isogeny class |
Conductor |
93024 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-241661206204416 = -1 · 212 · 37 · 175 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 0 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14388,343712] |
[a1,a2,a3,a4,a6] |
Generators |
[466:10404:1] |
Generators of the group modulo torsion |
j |
110315750336/80931849 |
j-invariant |
L |
8.0573626180376 |
L(r)(E,1)/r! |
Ω |
0.35421946797113 |
Real period |
R |
0.56867022748771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000954 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93024bh1 31008k1 |
Quadratic twists by: -4 -3 |