Atkin-Lehner |
2- 3+ 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
42966v |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
3006932544 = 26 · 39 · 7 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1271,17551] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:152:1] |
Generators of the group modulo torsion |
j |
11527859979/152768 |
j-invariant |
L |
7.8551750964349 |
L(r)(E,1)/r! |
Ω |
1.4292420903193 |
Real period |
R |
1.8320141259104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42966a1 |
Quadratic twists by: -3 |