Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200cd |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
2971318800000000 = 210 · 3 · 58 · 195 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 4 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-183833,30285537] |
[a1,a2,a3,a4,a6] |
Generators |
[192:1425:1] |
Generators of the group modulo torsion |
j |
1717657250560/7428297 |
j-invariant |
L |
5.2322814743666 |
L(r)(E,1)/r! |
Ω |
0.45323291371204 |
Real period |
R |
0.76962364072872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999945138 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200iq1 5700o1 91200dp1 |
Quadratic twists by: -4 8 5 |