Atkin-Lehner |
3+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78213a |
Isogeny class |
Conductor |
78213 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38160 |
Modular degree for the optimal curve |
Δ |
-15907820283 = -1 · 39 · 292 · 312 |
Discriminant |
Eigenvalues |
0 3+ 0 -1 0 2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1063,15015] |
[a1,a2,a3,a4,a6] |
Generators |
[35:139:1] |
Generators of the group modulo torsion |
j |
-158101504000/18915363 |
j-invariant |
L |
4.5866986139532 |
L(r)(E,1)/r! |
Ω |
1.2046281508169 |
Real period |
R |
1.9037819306838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001126 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78213k1 |
Quadratic twists by: 29 |