Atkin-Lehner |
2- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
78200t |
Isogeny class |
Conductor |
78200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
363264 |
Modular degree for the optimal curve |
Δ |
-4772949218750000 = -1 · 24 · 517 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 -1 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-159383,24662738] |
[a1,a2,a3,a4,a6] |
Generators |
[2918:156250:1] |
Generators of the group modulo torsion |
j |
-1791069422688256/19091796875 |
j-invariant |
L |
6.7719396466513 |
L(r)(E,1)/r! |
Ω |
0.43541338025607 |
Real period |
R |
1.9441121794315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002223 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15640d1 |
Quadratic twists by: 5 |