Atkin-Lehner |
3+ 5+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
75225c |
Isogeny class |
Conductor |
75225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-514115859375 = -1 · 38 · 57 · 17 · 59 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1937,-9844] |
[a1,a2,a3,a4,a6] |
Generators |
[126:1438:1] |
Generators of the group modulo torsion |
j |
51437343959/32903415 |
j-invariant |
L |
2.6665609606721 |
L(r)(E,1)/r! |
Ω |
0.53198222191286 |
Real period |
R |
5.0125001397813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961475 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15045g1 |
Quadratic twists by: 5 |