Atkin-Lehner |
2- 5+ 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050bt |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
5778432 |
Modular degree for the optimal curve |
Δ |
-264194413280000000 = -1 · 211 · 57 · 72 · 173 · 193 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 3 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20605463,35993012781] |
[a1,a2,a3,a4,a6] |
Generators |
[2695:-7998:1] |
Generators of the group modulo torsion |
j |
-61922833358463579936169/16908442449920 |
j-invariant |
L |
9.6454650538857 |
L(r)(E,1)/r! |
Ω |
0.24835211679215 |
Real period |
R |
0.29422622302575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999995203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22610c1 |
Quadratic twists by: 5 |