Atkin-Lehner |
2- 3- 7+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
109494by |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1376256 |
Modular degree for the optimal curve |
Δ |
-23242323131508096 = -1 · 27 · 314 · 7 · 11 · 793 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11- -6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10246,7321529] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-2873:1] |
Generators of the group modulo torsion |
j |
163192041498023/31882473431424 |
j-invariant |
L |
6.8842540878183 |
L(r)(E,1)/r! |
Ω |
0.29339175382522 |
Real period |
R |
0.55867559095543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36498t1 |
Quadratic twists by: -3 |