Atkin-Lehner |
2+ 3- 7- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
100674z |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
135659520 |
Modular degree for the optimal curve |
Δ |
-8.001512321638E+25 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 6 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20710784592,-1147204948292352] |
[a1,a2,a3,a4,a6] |
Generators |
[2887993598962897111120975089632592450:342192369115046714675179006367541516843:16729549465833822937254556375000] |
Generators of the group modulo torsion |
j |
-1347677069261166063915946360890625/109760114151413243707392 |
j-invariant |
L |
5.4228196175772 |
L(r)(E,1)/r! |
Ω |
0.0062924593547712 |
Real period |
R |
53.862282931011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33558bk1 |
Quadratic twists by: -3 |