Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850s |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
161738281250 = 2 · 510 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 6 13- 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1367,-1709] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:131:1] |
Generators of the group modulo torsion |
j |
590625/338 |
j-invariant |
L |
4.2030559447917 |
L(r)(E,1)/r! |
Ω |
0.85104410276066 |
Real period |
R |
2.4693526053219 |
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 |
31850ch1 31850a1 |
Quadratic twists by: 5 -7 |