Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
26600bc |
Isogeny class |
Conductor |
26600 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-2309213918436275200 = -1 · 210 · 52 · 715 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 4 -5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6910128,-6989690308] |
[a1,a2,a3,a4,a6] |
Generators |
[15769438:306357996:4913] |
Generators of the group modulo torsion |
j |
-1425417498834827170660/90203668688917 |
j-invariant |
L |
8.1333170732022 |
L(r)(E,1)/r! |
Ω |
0.04655822146685 |
Real period |
R |
5.8230439343516 |
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 |
53200l1 26600m1 |
Quadratic twists by: -4 5 |