Atkin-Lehner |
5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
35525j |
Isogeny class |
Conductor |
35525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-70244532545075 = -1 · 52 · 713 · 29 |
Discriminant |
Eigenvalues |
0 3 5+ 7- -2 4 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-93100,10941271] |
[a1,a2,a3,a4,a6] |
Generators |
[19803:495793:27] |
Generators of the group modulo torsion |
j |
-30342021120000/23882747 |
j-invariant |
L |
8.2678899878676 |
L(r)(E,1)/r! |
Ω |
0.61137438050612 |
Real period |
R |
3.3808621408956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35525u1 5075f1 |
Quadratic twists by: 5 -7 |