Atkin-Lehner |
2+ 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550cf |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-9139006482145312500 = -1 · 22 · 38 · 58 · 74 · 135 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 13- -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-628450,-240941000] |
[a1,a2,a3,a4,a6] |
Generators |
[3310:182620:1] |
Generators of the group modulo torsion |
j |
-29267443515625/9744213492 |
j-invariant |
L |
3.0153843975117 |
L(r)(E,1)/r! |
Ω |
0.083373931518366 |
Real period |
R |
0.20092773850147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550ix1 95550fi1 |
Quadratic twists by: 5 -7 |