Atkin-Lehner |
2+ 3- 7+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
100674h |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
43499520 |
Modular degree for the optimal curve |
Δ |
-1.0618116060228E+24 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 0 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-355312629,2578453719349] |
[a1,a2,a3,a4,a6] |
Generators |
[6906:670339:1] |
Generators of the group modulo torsion |
j |
-6804999797651373789212082769/1456531695504564682752 |
j-invariant |
L |
2.7637751224978 |
L(r)(E,1)/r! |
Ω |
0.084991491264186 |
Real period |
R |
1.3549273484341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000075783 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33558u1 |
Quadratic twists by: -3 |