Atkin-Lehner |
2+ 3- 5- 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
103230n |
Isogeny class |
Conductor |
103230 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
35543040 |
Modular degree for the optimal curve |
Δ |
-2.7757225206743E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -6 -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-65906439,326610963773] |
[a1,a2,a3,a4,a6] |
Generators |
[-4313:730594:1] |
Generators of the group modulo torsion |
j |
-43428989868734317441743729/38075754741760000000000 |
j-invariant |
L |
4.3037967416272 |
L(r)(E,1)/r! |
Ω |
0.06088788566895 |
Real period |
R |
1.7670989552978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999428216 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11470b1 |
Quadratic twists by: -3 |