Atkin-Lehner |
3+ 7+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
120099a |
Isogeny class |
Conductor |
120099 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
85800960 |
Modular degree for the optimal curve |
Δ |
-4.6330817611791E+24 |
Discriminant |
Eigenvalues |
-2 3+ -2 7+ -3 -4 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1910650744,32146295561400] |
[a1,a2,a3,a4,a6] |
Generators |
[33490:2391484:1] |
Generators of the group modulo torsion |
j |
-133808380850083784195018752/803684595735234891 |
j-invariant |
L |
1.6790591014911 |
L(r)(E,1)/r! |
Ω |
0.068799558251618 |
Real period |
R |
2.0337571477897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998879317 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120099s1 |
Quadratic twists by: -7 |