Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400bt |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
1323551250000 = 24 · 32 · 57 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18783,-995562] |
[a1,a2,a3,a4,a6] |
Generators |
[702:18228:1] |
Generators of the group modulo torsion |
j |
24918016/45 |
j-invariant |
L |
6.7963282256727 |
L(r)(E,1)/r! |
Ω |
0.40785284892117 |
Real period |
R |
4.1659193037697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58800bd1 88200gv1 5880u1 600a1 |
Quadratic twists by: -4 -3 5 -7 |