Atkin-Lehner |
3+ 5- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
52725l |
Isogeny class |
Conductor |
52725 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4382400 |
Modular degree for the optimal curve |
Δ |
-6.0226436956203E+20 |
Discriminant |
Eigenvalues |
0 3+ 5- 2 4 3 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-52863833,-147927253057] |
[a1,a2,a3,a4,a6] |
Generators |
[406917936729:70927384765394:12649337] |
Generators of the group modulo torsion |
j |
-8365070959291265712128/308359357215759 |
j-invariant |
L |
5.0603829561336 |
L(r)(E,1)/r! |
Ω |
0.027994900964308 |
Real period |
R |
15.063406733085 |
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 |
52725v1 |
Quadratic twists by: 5 |