Atkin-Lehner |
2+ 3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
12390h |
Isogeny class |
Conductor |
12390 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-1.3200557825065E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-443684,-208594654] |
[a1,a2,a3,a4,a6] |
Generators |
[1207998:14947073:1331] |
Generators of the group modulo torsion |
j |
-9659254476258043603129/13200557825064960000 |
j-invariant |
L |
4.1914080840153 |
L(r)(E,1)/r! |
Ω |
0.088072409138982 |
Real period |
R |
9.5180956782983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120bm1 37170bh1 61950br1 86730p1 |
Quadratic twists by: -4 -3 5 -7 |