Atkin-Lehner |
2+ 5+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
31450d |
Isogeny class |
Conductor |
31450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
-9532620800 = -1 · 214 · 52 · 17 · 372 |
Discriminant |
Eigenvalues |
2+ 1 5+ 5 -4 5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9,4698] |
[a1,a2,a3,a4,a6] |
Generators |
[381:2164:27] |
Generators of the group modulo torsion |
j |
3767855/381304832 |
j-invariant |
L |
5.691253378365 |
L(r)(E,1)/r! |
Ω |
1.0243331775722 |
Real period |
R |
1.3890142150463 |
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 |
31450u1 |
Quadratic twists by: 5 |