Atkin-Lehner |
7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
112651h |
Isogeny class |
Conductor |
112651 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-104588226130081001 = -1 · 710 · 117 · 19 |
Discriminant |
Eigenvalues |
1 -1 1 7- 11- 5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6052,15558173] |
[a1,a2,a3,a4,a6] |
Generators |
[55477036:4258342721:1092727] |
Generators of the group modulo torsion |
j |
-49/209 |
j-invariant |
L |
6.9142885307358 |
L(r)(E,1)/r! |
Ω |
0.26888098989139 |
Real period |
R |
12.85752582773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999804863 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112651c1 10241d1 |
Quadratic twists by: -7 -11 |