Atkin-Lehner |
2+ 3- 5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
105450bd |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
1120 |
Product of Tamagawa factors cp |
deg |
12902400 |
Modular degree for the optimal curve |
Δ |
-2.0266513017009E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -4 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3750874,6252932648] |
[a1,a2,a3,a4,a6] |
Generators |
[1017:-105959:1] |
Generators of the group modulo torsion |
j |
373509178976018769839/1297056833088603120 |
j-invariant |
L |
5.6066491673293 |
L(r)(E,1)/r! |
Ω |
0.086174667903943 |
Real period |
R |
0.23236233274239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000084257 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21090k1 |
Quadratic twists by: 5 |