Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
25200bv |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-3125587500000000 = -1 · 28 · 36 · 511 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -5 5 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-92700,11191500] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:4375:1] |
Generators of the group modulo torsion |
j |
-30211716096/1071875 |
j-invariant |
L |
5.2360594316555 |
L(r)(E,1)/r! |
Ω |
0.44639267443558 |
Real period |
R |
0.97747635873056 |
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 |
12600p1 100800oc1 2800h1 5040j1 |
Quadratic twists by: -4 8 -3 5 |