Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
115320v |
Isogeny class |
Conductor |
115320 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
280800 |
Modular degree for the optimal curve |
Δ |
-27578599254000 = -1 · 24 · 315 · 53 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 -4 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3420,-265275] |
[a1,a2,a3,a4,a6] |
Generators |
[90:405:1] |
Generators of the group modulo torsion |
j |
-287796587776/1793613375 |
j-invariant |
L |
7.0045948207821 |
L(r)(E,1)/r! |
Ω |
0.27868122066257 |
Real period |
R |
0.27927547722014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115320o1 |
Quadratic twists by: -31 |