Atkin-Lehner |
2+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
24400c |
Isogeny class |
Conductor |
24400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1370880 |
Modular degree for the optimal curve |
Δ |
-2.1114907525E+21 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 6 -3 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1974325,1935868250] |
[a1,a2,a3,a4,a6] |
Generators |
[-695:15100:1] |
Generators of the group modulo torsion |
j |
26596817194679118/65984086015625 |
j-invariant |
L |
3.8877522971591 |
L(r)(E,1)/r! |
Ω |
0.10248727024602 |
Real period |
R |
4.7417502288656 |
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 |
12200i1 97600ce1 4880c1 |
Quadratic twists by: -4 8 5 |