Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
31200v |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-3427734375000000 = -1 · 26 · 33 · 516 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49158,5036688] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:3000:1] |
Generators of the group modulo torsion |
j |
-13137573612736/3427734375 |
j-invariant |
L |
7.7394431661554 |
L(r)(E,1)/r! |
Ω |
0.4238488454671 |
Real period |
R |
3.0433188816115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31200g1 62400ef1 93600eb1 6240v1 |
Quadratic twists by: -4 8 -3 5 |