Atkin-Lehner |
5- 23+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
30475c |
Isogeny class |
Conductor |
30475 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
102720 |
Modular degree for the optimal curve |
Δ |
138265884873125 = 54 · 232 · 535 |
Discriminant |
Eigenvalues |
-2 0 5- -1 -3 2 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-34325,2381456] |
[a1,a2,a3,a4,a6] |
Generators |
[179:-1405:1] |
Generators of the group modulo torsion |
j |
7156082397081600/221225415797 |
j-invariant |
L |
2.1399629674862 |
L(r)(E,1)/r! |
Ω |
0.57947293849046 |
Real period |
R |
0.36929472031269 |
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 |
30475b1 |
Quadratic twists by: 5 |