Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11200ba |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-256901120000000000 = -1 · 229 · 510 · 72 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 5 -6 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-287500,64150000] |
[a1,a2,a3,a4,a6] |
j |
-1026590625/100352 |
j-invariant |
L |
1.2141644122604 |
L(r)(E,1)/r! |
Ω |
0.30354110306511 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11200cf1 350e1 100800gc1 11200bk1 |
Quadratic twists by: -4 8 -3 5 |