Atkin-Lehner |
2+ 3+ 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
104370l |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
6894720 |
Modular degree for the optimal curve |
Δ |
-9415557236484000 = -1 · 25 · 34 · 53 · 78 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 5 -5 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12336902,16673372724] |
[a1,a2,a3,a4,a6] |
Generators |
[2225:14543:1] |
Generators of the group modulo torsion |
j |
-36021168061314216361/1633284000 |
j-invariant |
L |
4.8460672222955 |
L(r)(E,1)/r! |
Ω |
0.30535229995942 |
Real period |
R |
0.44084481063681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000114697 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104370br1 |
Quadratic twists by: -7 |