Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
26600bf |
Isogeny class |
Conductor |
26600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
3615156119680000 = 210 · 54 · 77 · 193 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 5 -3 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53208,-3752512] |
[a1,a2,a3,a4,a6] |
Generators |
[-152:920:1] |
Generators of the group modulo torsion |
j |
26030511662500/5648681437 |
j-invariant |
L |
6.1319304905487 |
L(r)(E,1)/r! |
Ω |
0.31919091008737 |
Real period |
R |
3.2018092708584 |
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 |
53200bg1 26600f1 |
Quadratic twists by: -4 5 |