Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
32340s |
Isogeny class |
Conductor |
32340 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-1141547070510000 = -1 · 24 · 36 · 54 · 76 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10715,1564942] |
[a1,a2,a3,a4,a6] |
Generators |
[49:-1485:1] |
Generators of the group modulo torsion |
j |
72268906496/606436875 |
j-invariant |
L |
4.9133142953963 |
L(r)(E,1)/r! |
Ω |
0.35711669522472 |
Real period |
R |
0.38217466300199 |
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 |
129360hn1 97020bk1 660d1 |
Quadratic twists by: -4 -3 -7 |