Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
41070l |
Isogeny class |
Conductor |
41070 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
10834560 |
Modular degree for the optimal curve |
Δ |
-7.4308666316319E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 3 -2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-114169153,-626489583244] |
[a1,a2,a3,a4,a6] |
Generators |
[13360:475892:1] |
Generators of the group modulo torsion |
j |
-64144540676215729729/28962038218752000 |
j-invariant |
L |
5.5313478230394 |
L(r)(E,1)/r! |
Ω |
0.022600131940428 |
Real period |
R |
3.3992843724337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123210cu1 1110n1 |
Quadratic twists by: -3 37 |