Atkin-Lehner |
3- 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
124425be |
Isogeny class |
Conductor |
124425 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
643145400326953125 = 311 · 58 · 76 · 79 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 1 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-230742,18258291] |
[a1,a2,a3,a4,a6] |
Generators |
[558:7659:1] |
Generators of the group modulo torsion |
j |
4771085130625/2258507853 |
j-invariant |
L |
9.2379080187029 |
L(r)(E,1)/r! |
Ω |
0.25706710413991 |
Real period |
R |
1.4973243422396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038837 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41475v1 124425i1 |
Quadratic twists by: -3 5 |