Atkin-Lehner |
2- 5+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
102700c |
Isogeny class |
Conductor |
102700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-267020000000 = -1 · 28 · 57 · 132 · 79 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 1 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47533,-3973063] |
[a1,a2,a3,a4,a6] |
j |
-2969330458624/66755 |
j-invariant |
L |
1.9399951348061 |
L(r)(E,1)/r! |
Ω |
0.16166626524088 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20540a1 |
Quadratic twists by: 5 |