Atkin-Lehner |
2- 3+ 5- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850cg |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
11980800 |
Modular degree for the optimal curve |
Δ |
-1.1568102885329E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,26243362,393653531] |
[a1,a2,a3,a4,a6] |
Generators |
[12235:1461257:1] |
Generators of the group modulo torsion |
j |
1023415724324044364851/592286867728837632 |
j-invariant |
L |
8.7027926910337 |
L(r)(E,1)/r! |
Ω |
0.051859006270168 |
Real period |
R |
2.79694030718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83850bd1 |
Quadratic twists by: 5 |