Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550jt |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-5297334997500000 = -1 · 25 · 39 · 57 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35813,4363617] |
[a1,a2,a3,a4,a6] |
Generators |
[232:-3041:1] |
Generators of the group modulo torsion |
j |
-6634840273369/6918968160 |
j-invariant |
L |
14.310400615807 |
L(r)(E,1)/r! |
Ω |
0.39081463710755 |
Real period |
R |
0.13561795981015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002599 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19110g1 95550fz1 |
Quadratic twists by: 5 -7 |