Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
7038o |
Isogeny class |
Conductor |
7038 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-1172509066656 = -1 · 25 · 311 · 17 · 233 |
Discriminant |
Eigenvalues |
2- 3- 1 4 -6 -6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,508,51783] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:213:1] |
Generators of the group modulo torsion |
j |
19924551431/1608380064 |
j-invariant |
L |
6.656567091511 |
L(r)(E,1)/r! |
Ω |
0.66263554945001 |
Real period |
R |
0.33485310273679 |
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 |
56304bn1 2346b1 119646bw1 |
Quadratic twists by: -4 -3 17 |