Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090bn |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
81100800 |
Modular degree for the optimal curve |
Δ |
-9.7778126117901E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,152553009,-1318047004587] |
[a1,a2,a3,a4,a6] |
Generators |
[35433:6951858:1] |
Generators of the group modulo torsion |
j |
2652277923951208297919/6605028468326400000 |
j-invariant |
L |
7.0316737940002 |
L(r)(E,1)/r! |
Ω |
0.025541769935998 |
Real period |
R |
6.8825240455773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999487402 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830y1 |
Quadratic twists by: -23 |