Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550bm |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1483776 |
Modular degree for the optimal curve |
Δ |
-701471909530828800 = -1 · 223 · 37 · 52 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-440535,119356245] |
[a1,a2,a3,a4,a6] |
Generators |
[66445:714003:125] |
Generators of the group modulo torsion |
j |
-3214683778008145/238496514048 |
j-invariant |
L |
4.2493506308485 |
L(r)(E,1)/r! |
Ω |
0.28080752407686 |
Real period |
R |
7.5663048027187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999987584 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550ku1 1950f1 |
Quadratic twists by: 5 -7 |