Atkin-Lehner |
2+ 3+ 5- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
120450p |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23950080 |
Modular degree for the optimal curve |
Δ |
-3.0879394508464E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- -3 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-113477700,472851234000] |
[a1,a2,a3,a4,a6] |
Generators |
[67341:17235246:1] |
Generators of the group modulo torsion |
j |
-413709275303694404892265/7905124994166816768 |
j-invariant |
L |
3.9201244487056 |
L(r)(E,1)/r! |
Ω |
0.080003163346554 |
Real period |
R |
4.0833015150098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999783753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120450ce1 |
Quadratic twists by: 5 |