Atkin-Lehner |
2+ 3+ 5- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
100890c |
Isogeny class |
Conductor |
100890 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
543744 |
Modular degree for the optimal curve |
Δ |
4684005527062500 = 22 · 33 · 56 · 196 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-43899,-1289295] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:987:1] |
Generators of the group modulo torsion |
j |
346520868915474603/173481686187500 |
j-invariant |
L |
4.3342671188682 |
L(r)(E,1)/r! |
Ω |
0.34747025176398 |
Real period |
R |
3.1184447371911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016364 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
100890n3 |
Quadratic twists by: -3 |