Atkin-Lehner |
3- 5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
124425y |
Isogeny class |
Conductor |
124425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
188928 |
Modular degree for the optimal curve |
Δ |
5291173125 = 37 · 54 · 72 · 79 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -4 1 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25205,1546472] |
[a1,a2,a3,a4,a6] |
Generators |
[90:-77:1] [-15:1393:1] |
Generators of the group modulo torsion |
j |
3886512940825/11613 |
j-invariant |
L |
7.8035041195046 |
L(r)(E,1)/r! |
Ω |
1.1836951919915 |
Real period |
R |
0.8240618208681 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999966447 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41475s1 124425p1 |
Quadratic twists by: -3 5 |