Atkin-Lehner |
2+ 3+ 5+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
116850k |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
155860992 |
Modular degree for the optimal curve |
Δ |
3.0370950139846E+29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2377456000,-35886872576000] |
[a1,a2,a3,a4,a6] |
Generators |
[304590650717545:22961364421660165:5277112021] |
Generators of the group modulo torsion |
j |
95113278267623740832229365761/19437408089501643413913600 |
j-invariant |
L |
3.8964000928146 |
L(r)(E,1)/r! |
Ω |
0.021931134135014 |
Real period |
R |
22.208154334537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23370x1 |
Quadratic twists by: 5 |