Atkin-Lehner |
3- 7- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10353g |
Isogeny class |
Conductor |
10353 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
49280 |
Modular degree for the optimal curve |
Δ |
-127963310116131 = -1 · 37 · 72 · 175 · 292 |
Discriminant |
Eigenvalues |
0 3- -3 7- -5 -7 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,373,544370] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:535:1] [6:739:1] |
Generators of the group modulo torsion |
j |
5723811971072/127963310116131 |
j-invariant |
L |
5.2519912585172 |
L(r)(E,1)/r! |
Ω |
0.46287433311106 |
Real period |
R |
0.08104623780492 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31059n1 72471e1 |
Quadratic twists by: -3 -7 |