Atkin-Lehner |
2- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15950n |
Isogeny class |
Conductor |
15950 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
13200 |
Modular degree for the optimal curve |
Δ |
-3736383200 = -1 · 25 · 52 · 115 · 29 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 11- -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7678,255771] |
[a1,a2,a3,a4,a6] |
Generators |
[909:26847:1] |
Generators of the group modulo torsion |
j |
-2002311132699145/149455328 |
j-invariant |
L |
5.3898996007144 |
L(r)(E,1)/r! |
Ω |
1.3320807902144 |
Real period |
R |
4.0462257547058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
127600s1 15950i2 |
Quadratic twists by: -4 5 |