Atkin-Lehner |
3+ 5- 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
113775d |
Isogeny class |
Conductor |
113775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-24271407421875 = -1 · 33 · 58 · 372 · 412 |
Discriminant |
Eigenvalues |
0 3+ 5- -1 -2 1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-333,-236932] |
[a1,a2,a3,a4,a6] |
j |
-10485760/62134803 |
j-invariant |
L |
1.2238614010502 |
L(r)(E,1)/r! |
Ω |
0.3059651743108 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113775g1 |
Quadratic twists by: 5 |