Atkin-Lehner |
2- 3+ 19+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
92112h |
Isogeny class |
Conductor |
92112 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
24192000 |
Modular degree for the optimal curve |
Δ |
-7.8484468895179E+24 |
Discriminant |
Eigenvalues |
2- 3+ -3 -5 -3 2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10269803,-134194463651] |
[a1,a2,a3,a4,a6] |
Generators |
[458980:310957083:1] |
Generators of the group modulo torsion |
j |
29244894594559580045312/1916124728886196428771 |
j-invariant |
L |
2.2192781264624 |
L(r)(E,1)/r! |
Ω |
0.035280341162491 |
Real period |
R |
5.2420083894393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999738189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5757g1 |
Quadratic twists by: -4 |