Atkin-Lehner |
3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125235bw |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
827904 |
Modular degree for the optimal curve |
Δ |
-39302088836744745 = -1 · 313 · 5 · 118 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 11- -2 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-104567,16161896] |
[a1,a2,a3,a4,a6] |
Generators |
[204:1711:1] |
Generators of the group modulo torsion |
j |
-809160649/251505 |
j-invariant |
L |
3.1573969640942 |
L(r)(E,1)/r! |
Ω |
0.34404800230681 |
Real period |
R |
4.5885995367394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998609358 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41745v1 125235bp1 |
Quadratic twists by: -3 -11 |