Atkin-Lehner |
2- 3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97650de |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-43255898437500 = -1 · 22 · 36 · 510 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3370,306497] |
[a1,a2,a3,a4,a6] |
Generators |
[109:1345:1] |
Generators of the group modulo torsion |
j |
371694959/3797500 |
j-invariant |
L |
8.3176259957009 |
L(r)(E,1)/r! |
Ω |
0.4716889045967 |
Real period |
R |
2.2042139179814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009553 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10850d1 19530p1 |
Quadratic twists by: -3 5 |