Atkin-Lehner |
3+ 5+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100485b |
Isogeny class |
Conductor |
100485 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-30968594729139375 = -1 · 39 · 54 · 72 · 116 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11- -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-73658,11459152] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:3728:1] |
Generators of the group modulo torsion |
j |
-2245363504788123/1573367613125 |
j-invariant |
L |
2.546565480978 |
L(r)(E,1)/r! |
Ω |
0.34183169871939 |
Real period |
R |
0.62081366508153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100485e1 |
Quadratic twists by: -3 |