Atkin-Lehner |
2+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20350b |
Isogeny class |
Conductor |
20350 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11200 |
Modular degree for the optimal curve |
Δ |
-203500000 = -1 · 25 · 56 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 11+ -4 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-692,7216] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-1:1] |
Generators of the group modulo torsion |
j |
-2347334289/13024 |
j-invariant |
L |
3.9374713665435 |
L(r)(E,1)/r! |
Ω |
1.7927689096571 |
Real period |
R |
2.1963072570778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
814b1 |
Quadratic twists by: 5 |