Atkin-Lehner |
2+ 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
103200o |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-36563140800000000 = -1 · 212 · 312 · 58 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 4 2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-206333,37298037] |
[a1,a2,a3,a4,a6] |
Generators |
[2531:125388:1] |
Generators of the group modulo torsion |
j |
-607172247040/22851963 |
j-invariant |
L |
5.1072407950391 |
L(r)(E,1)/r! |
Ω |
0.36337298943276 |
Real period |
R |
3.5137729946915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011674 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103200ct1 103200ck1 |
Quadratic twists by: -4 5 |