Atkin-Lehner |
2- 3+ 7+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
109494ba |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-10688262941664 = -1 · 25 · 33 · 76 · 113 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 11+ -7 -8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3698,-178607] |
[a1,a2,a3,a4,a6] |
Generators |
[101:635:1] |
Generators of the group modulo torsion |
j |
-207085916043747/395861590432 |
j-invariant |
L |
6.972329148338 |
L(r)(E,1)/r! |
Ω |
0.28811998418617 |
Real period |
R |
1.2099697167192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050773 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109494c1 |
Quadratic twists by: -3 |