Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488cc |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
6451200 |
Modular degree for the optimal curve |
Δ |
-9.5881201258317E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11- 1 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4930903,2103918321] |
[a1,a2,a3,a4,a6] |
Generators |
[40:47971:1] |
Generators of the group modulo torsion |
j |
110056273881297152/79587574568271 |
j-invariant |
L |
4.3967073056417 |
L(r)(E,1)/r! |
Ω |
0.082260572745115 |
Real period |
R |
3.8177526583816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049479 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488hz1 6468n1 14784bb1 |
Quadratic twists by: -4 8 -7 |