Atkin-Lehner |
2+ 3- 5+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
101970t |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
365568 |
Modular degree for the optimal curve |
Δ |
-67662397440000 = -1 · 217 · 36 · 54 · 11 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7245,-459675] |
[a1,a2,a3,a4,a6] |
Generators |
[945:28440:1] |
Generators of the group modulo torsion |
j |
-57695915808721/92815360000 |
j-invariant |
L |
4.1172337277835 |
L(r)(E,1)/r! |
Ω |
0.24503385736572 |
Real period |
R |
4.2006784001728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11330j1 |
Quadratic twists by: -3 |