Atkin-Lehner |
2- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7600l |
Isogeny class |
Conductor |
7600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-9728000000 = -1 · 215 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 6 -5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6208,-190412] |
[a1,a2,a3,a4,a6] |
j |
-413493625/152 |
j-invariant |
L |
2.1513259347457 |
L(r)(E,1)/r! |
Ω |
0.26891574184321 |
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 |
950e1 30400br1 68400ee1 304b1 |
Quadratic twists by: -4 8 -3 5 |