Atkin-Lehner |
2+ 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
20650a |
Isogeny class |
Conductor |
20650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6205248 |
Modular degree for the optimal curve |
Δ |
-2.5008636448856E+25 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -3 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,63190860,-143182137520] |
[a1,a2,a3,a4,a6] |
Generators |
[334043287550522793788095359636700121705690569:37071495662764153365032413421556776015069886154:57805487979035495696193532017046132917449] |
Generators of the group modulo torsion |
j |
1116211494835886707778546255/1000345457954245681610752 |
j-invariant |
L |
5.0887478652741 |
L(r)(E,1)/r! |
Ω |
0.036873851757551 |
Real period |
R |
69.002119696269 |
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 |
20650bh1 |
Quadratic twists by: 5 |