Atkin-Lehner |
2+ 3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850m |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
-33062040000000 = -1 · 29 · 33 · 57 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11- -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13317,656341] |
[a1,a2,a3,a4,a6] |
Generators |
[89:-457:1] |
Generators of the group modulo torsion |
j |
-619123751667/78369280 |
j-invariant |
L |
6.4988073579188 |
L(r)(E,1)/r! |
Ω |
0.63647225489383 |
Real period |
R |
0.42544452729395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000084727 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113850de2 22770bc1 |
Quadratic twists by: -3 5 |