Atkin-Lehner |
2+ 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350l |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1589760 |
Modular degree for the optimal curve |
Δ |
-35201875968000000 = -1 · 223 · 33 · 56 · 73 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 1 3 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2390367,1423102541] |
[a1,a2,a3,a4,a6] |
Generators |
[889:-707:1] |
Generators of the group modulo torsion |
j |
-3580418379458257875/83441483776 |
j-invariant |
L |
6.0583816168406 |
L(r)(E,1)/r! |
Ω |
0.33961651387326 |
Real period |
R |
1.4865741644426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999880103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91350df1 3654n1 |
Quadratic twists by: -3 5 |