Atkin-Lehner |
2- 5- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7030h |
Isogeny class |
Conductor |
7030 |
Conductor |
∏ cp |
228 |
Product of Tamagawa factors cp |
deg |
25536 |
Modular degree for the optimal curve |
Δ |
-213082112000000 = -1 · 219 · 56 · 19 · 372 |
Discriminant |
Eigenvalues |
2- -1 5- 1 -2 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-70940,7276797] |
[a1,a2,a3,a4,a6] |
Generators |
[57:1821:1] |
Generators of the group modulo torsion |
j |
-39481863905634586561/213082112000000 |
j-invariant |
L |
5.4551483446822 |
L(r)(E,1)/r! |
Ω |
0.56474071357987 |
Real period |
R |
0.042366503168145 |
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 |
56240q1 63270c1 35150a1 |
Quadratic twists by: -4 -3 5 |