Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850bf |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3494400 |
Modular degree for the optimal curve |
Δ |
-9074951578936320000 = -1 · 213 · 3 · 54 · 79 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ 5 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5060500,4381944400] |
[a1,a2,a3,a4,a6] |
Generators |
[951:20276:1] |
Generators of the group modulo torsion |
j |
-568253025044575/359817216 |
j-invariant |
L |
4.1805587028921 |
L(r)(E,1)/r! |
Ω |
0.22864864530441 |
Real period |
R |
1.5236473045969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939683 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850gd1 80850cy1 |
Quadratic twists by: 5 -7 |