Atkin-Lehner |
3- 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
124425v |
Isogeny class |
Conductor |
124425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
4914019564453125 = 36 · 59 · 7 · 793 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ -3 -5 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1844625,-964289844] |
[a1,a2,a3,a4,a6] |
Generators |
[-784:76:1] |
Generators of the group modulo torsion |
j |
487517731057664/3451273 |
j-invariant |
L |
1.7407452231177 |
L(r)(E,1)/r! |
Ω |
0.12954561484343 |
Real period |
R |
3.3593289476525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999993518739 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13825d1 124425ba1 |
Quadratic twists by: -3 5 |