Atkin-Lehner |
2+ 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710bd |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
-1.0284021691708E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -5 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1104696,-195699698] |
[a1,a2,a3,a4,a6] |
Generators |
[908:38994:1] |
Generators of the group modulo torsion |
j |
6176736766011239/4260587175000 |
j-invariant |
L |
5.6986213093394 |
L(r)(E,1)/r! |
Ω |
0.10678318396761 |
Real period |
R |
1.7788760120161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999577777 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6630h1 |
Quadratic twists by: 17 |