Atkin-Lehner |
2+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200bs |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
4966055936000000000 = 236 · 59 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 0 -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1371500,-608850000] |
[a1,a2,a3,a4,a6] |
Generators |
[-1253936375:-5184358277:1953125] |
Generators of the group modulo torsion |
j |
557238592989/9699328 |
j-invariant |
L |
4.4442427978509 |
L(r)(E,1)/r! |
Ω |
0.13965588613345 |
Real period |
R |
15.911405243617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59200dt1 1850o1 59200bm1 |
Quadratic twists by: -4 8 5 |