Atkin-Lehner |
2- 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
107604n |
Isogeny class |
Conductor |
107604 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-6755465264749488 = -1 · 24 · 39 · 78 · 612 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58800,-6764303] |
[a1,a2,a3,a4,a6] |
j |
-16384000000/4922883 |
j-invariant |
L |
1.8115322036401 |
L(r)(E,1)/r! |
Ω |
0.15096101160293 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35868g1 15372c1 |
Quadratic twists by: -3 -7 |