Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
30800cw |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-113036492800000000 = -1 · 229 · 58 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- -1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,74125,-14188750] |
[a1,a2,a3,a4,a6] |
Generators |
[18079:2431142:1] |
Generators of the group modulo torsion |
j |
28151260695/70647808 |
j-invariant |
L |
5.5991617916378 |
L(r)(E,1)/r! |
Ω |
0.17186700750264 |
Real period |
R |
8.1446140725289 |
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 |
3850g1 123200hi1 30800bg1 |
Quadratic twists by: -4 8 5 |