Atkin-Lehner |
2- 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31450p |
Isogeny class |
Conductor |
31450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
556416 |
Modular degree for the optimal curve |
Δ |
-1969595913658906250 = -1 · 2 · 57 · 173 · 376 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 0 1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-539338,166513281] |
[a1,a2,a3,a4,a6] |
Generators |
[-46156:884147:64] |
Generators of the group modulo torsion |
j |
-1110418778129340889/126054138474170 |
j-invariant |
L |
7.8653107532136 |
L(r)(E,1)/r! |
Ω |
0.2552709960311 |
Real period |
R |
2.567634290454 |
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 |
6290b1 |
Quadratic twists by: 5 |