Atkin-Lehner |
2+ 3- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
38430h |
Isogeny class |
Conductor |
38430 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30105600 |
Modular degree for the optimal curve |
Δ |
-2.0083107751175E+28 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 3 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,51532515,6816760643461] |
[a1,a2,a3,a4,a6] |
Generators |
[82108605814896495048258745:-25870044622398937473905472056:840291962378006472641] |
Generators of the group modulo torsion |
j |
20760614018184213029813039/27548844651817223124418560 |
j-invariant |
L |
4.1958667022299 |
L(r)(E,1)/r! |
Ω |
0.030099160201027 |
Real period |
R |
34.850363550067 |
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 |
12810m1 |
Quadratic twists by: -3 |