Atkin-Lehner |
2- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
37312t |
Isogeny class |
Conductor |
37312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-1977536 = -1 · 26 · 11 · 532 |
Discriminant |
Eigenvalues |
2- 1 -3 0 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23,61] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:-53:8] [36:221:1] |
Generators of the group modulo torsion |
j |
20123648/30899 |
j-invariant |
L |
8.4805091844475 |
L(r)(E,1)/r! |
Ω |
1.7845234776713 |
Real period |
R |
2.3761270979508 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37312m1 9328n1 |
Quadratic twists by: -4 8 |