Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350t |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4176000 |
Modular degree for the optimal curve |
Δ |
-5.52337408E+19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 2 -2 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1106025,-573434875] |
[a1,a2,a3,a4,a6] |
Generators |
[1385438340159341217068870685147167:55016057429981066436340713658180886:621924930315755888056152230377] |
Generators of the group modulo torsion |
j |
-195435318335123041/72142028800000 |
j-invariant |
L |
7.7619478631465 |
L(r)(E,1)/r! |
Ω |
0.072276094186071 |
Real period |
R |
53.696508856467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21070s1 105350c1 |
Quadratic twists by: 5 -7 |