Atkin-Lehner |
2+ 5+ 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
72850h |
Isogeny class |
Conductor |
72850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
6517605157343750 = 2 · 57 · 316 · 47 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 -2 4 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-47151,-669052] |
[a1,a2,a3,a4,a6] |
Generators |
[-208:491:1] [292:3091:1] |
Generators of the group modulo torsion |
j |
741930405105889/417126730070 |
j-invariant |
L |
5.457304818892 |
L(r)(E,1)/r! |
Ω |
0.34858697646202 |
Real period |
R |
5.2185013472583 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999645 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14570i2 |
Quadratic twists by: 5 |