Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
30800bu |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-31539200 = -1 · 214 · 52 · 7 · 11 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11- 2 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,72,112] |
[a1,a2,a3,a4,a6] |
j |
397535/308 |
j-invariant |
L |
2.6734583342681 |
L(r)(E,1)/r! |
Ω |
1.3367291671334 |
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 |
3850a1 123200fh1 30800cl1 |
Quadratic twists by: -4 8 5 |