Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
12600bb |
Isogeny class |
Conductor |
12600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
7654500000000 = 28 · 37 · 59 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6375,-143750] |
[a1,a2,a3,a4,a6] |
Generators |
[299:4968:1] |
Generators of the group modulo torsion |
j |
78608/21 |
j-invariant |
L |
4.4086221097506 |
L(r)(E,1)/r! |
Ω |
0.54494682539367 |
Real period |
R |
4.0450021032472 |
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 |
25200cj1 100800go1 4200bc1 12600cm1 |
Quadratic twists by: -4 8 -3 5 |