Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
109520b |
Isogeny class |
Conductor |
109520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2626560 |
Modular degree for the optimal curve |
Δ |
2.373296928325E+20 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 3 0 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2279841,1099014541] |
[a1,a2,a3,a4,a6] |
Generators |
[-8310:387427:8] |
Generators of the group modulo torsion |
j |
1995203838976/361328125 |
j-invariant |
L |
6.1129357993859 |
L(r)(E,1)/r! |
Ω |
0.16754662927202 |
Real period |
R |
4.5606227861669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963333 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54760d1 2960b1 |
Quadratic twists by: -4 37 |