Atkin-Lehner |
2- 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
113256be |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2238720 |
Modular degree for the optimal curve |
Δ |
-18645065799579648 = -1 · 211 · 33 · 1110 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- 13- -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8125755,-8915461258] |
[a1,a2,a3,a4,a6] |
j |
-41370837750/13 |
j-invariant |
L |
2.2354945543977 |
L(r)(E,1)/r! |
Ω |
0.044709891906095 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113256d1 113256a1 |
Quadratic twists by: -3 -11 |