Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400eq |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-1976503200000000 = -1 · 211 · 3 · 58 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 5 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10208,-2178912] |
[a1,a2,a3,a4,a6] |
Generators |
[1983:88200:1] |
Generators of the group modulo torsion |
j |
-1250/21 |
j-invariant |
L |
7.3538460006905 |
L(r)(E,1)/r! |
Ω |
0.20045668567658 |
Real period |
R |
3.0571217816416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800bz1 88200dr1 29400l1 4200u1 |
Quadratic twists by: -4 -3 5 -7 |