Atkin-Lehner |
2+ 3+ 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
93450v |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
-179424000000000 = -1 · 214 · 32 · 59 · 7 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -3 -4 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6825,-682875] |
[a1,a2,a3,a4,a6] |
Generators |
[114:135:1] [135:870:1] |
Generators of the group modulo torsion |
j |
-18005329061/91865088 |
j-invariant |
L |
7.0325142302693 |
L(r)(E,1)/r! |
Ω |
0.23685962070793 |
Real period |
R |
3.7113302645863 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999078 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93450cz1 |
Quadratic twists by: 5 |