Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
11200a |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-3430000000000 = -1 · 210 · 510 · 73 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -1 -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2500,75000] |
[a1,a2,a3,a4,a6] |
Generators |
[-455:32077:125] |
Generators of the group modulo torsion |
j |
172800/343 |
j-invariant |
L |
4.074168902564 |
L(r)(E,1)/r! |
Ω |
0.54718109946382 |
Real period |
R |
7.4457412848438 |
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 |
11200ci1 1400g1 100800de1 11200bm1 |
Quadratic twists by: -4 8 -3 5 |