Atkin-Lehner |
2- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
7900d |
Isogeny class |
Conductor |
7900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-39500000000 = -1 · 28 · 59 · 79 |
Discriminant |
Eigenvalues |
2- -3 5+ -3 -5 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,200,-9500] |
[a1,a2,a3,a4,a6] |
Generators |
[40:250:1] |
Generators of the group modulo torsion |
j |
221184/9875 |
j-invariant |
L |
1.7394951263198 |
L(r)(E,1)/r! |
Ω |
0.55125641360594 |
Real period |
R |
0.2629591667607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31600i1 126400y1 71100s1 1580b1 |
Quadratic twists by: -4 8 -3 5 |