Atkin-Lehner |
3+ 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
30975j |
Isogeny class |
Conductor |
30975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-28814009765625 = -1 · 36 · 59 · 73 · 59 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 5 -4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7450,354625] |
[a1,a2,a3,a4,a6] |
Generators |
[830:6335:8] |
Generators of the group modulo torsion |
j |
-23418203381/14752773 |
j-invariant |
L |
5.3828620059914 |
L(r)(E,1)/r! |
Ω |
0.61370431559383 |
Real period |
R |
2.1927750340092 |
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 |
92925ba1 30975be1 |
Quadratic twists by: -3 5 |