Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
30800cd |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-34193539072000 = -1 · 222 · 53 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11+ -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3755,-294950] |
[a1,a2,a3,a4,a6] |
Generators |
[90:310:1] |
Generators of the group modulo torsion |
j |
-11436248277/66784256 |
j-invariant |
L |
4.5104454564447 |
L(r)(E,1)/r! |
Ω |
0.27316438975075 |
Real period |
R |
4.1279588644042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3850ba1 123200hb1 30800cq1 |
Quadratic twists by: -4 8 5 |