Atkin-Lehner |
2- 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
70800cp |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-5505408000000 = -1 · 213 · 36 · 56 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 -5 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3792,69588] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:150:1] [-6:216:1] |
Generators of the group modulo torsion |
j |
94196375/86022 |
j-invariant |
L |
11.807217849411 |
L(r)(E,1)/r! |
Ω |
0.49773315925741 |
Real period |
R |
0.4942079920163 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999804 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8850s1 2832a1 |
Quadratic twists by: -4 5 |