Atkin-Lehner |
3- 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
31815h |
Isogeny class |
Conductor |
31815 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
966380625 = 37 · 54 · 7 · 101 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-473,-3544] |
[a1,a2,a3,a4,a6] |
Generators |
[66:466:1] |
Generators of the group modulo torsion |
j |
16022066761/1325625 |
j-invariant |
L |
3.3550838071486 |
L(r)(E,1)/r! |
Ω |
1.0292827598068 |
Real period |
R |
3.259632763866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10605j1 |
Quadratic twists by: -3 |