Atkin-Lehner |
3- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
91575cf |
Isogeny class |
Conductor |
91575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
-11462587266796875 = -1 · 311 · 58 · 112 · 372 |
Discriminant |
Eigenvalues |
-2 3- 5- 3 11- -3 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6016125,-5679676094] |
[a1,a2,a3,a4,a6] |
Generators |
[12499:1368130:1] |
Generators of the group modulo torsion |
j |
-84564230789263360/40252707 |
j-invariant |
L |
3.1344527681273 |
L(r)(E,1)/r! |
Ω |
0.048199255916677 |
Real period |
R |
4.0644465340172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999670862 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30525p1 91575bk1 |
Quadratic twists by: -3 5 |