Atkin-Lehner |
2- 3- 37- 47- |
Signs for the Atkin-Lehner involutions |
Class |
31302n |
Isogeny class |
Conductor |
31302 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
-1496495024967518496 = -1 · 25 · 315 · 375 · 47 |
Discriminant |
Eigenvalues |
2- 3- 1 2 4 -2 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-190292,-66922153] |
[a1,a2,a3,a4,a6] |
Generators |
[841:18745:1] |
Generators of the group modulo torsion |
j |
-1045335347591077369/2052805246869024 |
j-invariant |
L |
10.075153888325 |
L(r)(E,1)/r! |
Ω |
0.10746471005437 |
Real period |
R |
1.8750627779533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10434c1 |
Quadratic twists by: -3 |