Atkin-Lehner |
2- 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90354n |
Isogeny class |
Conductor |
90354 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
262656 |
Modular degree for the optimal curve |
Δ |
-150372093378672 = -1 · 24 · 32 · 11 · 377 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6132,562845] |
[a1,a2,a3,a4,a6] |
Generators |
[7045:587885:1] |
Generators of the group modulo torsion |
j |
9938375/58608 |
j-invariant |
L |
10.411437469943 |
L(r)(E,1)/r! |
Ω |
0.4182202247768 |
Real period |
R |
3.1118286619954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009653 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2442a1 |
Quadratic twists by: 37 |