Atkin-Lehner |
2+ 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736bs |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-965595701952 = -1 · 26 · 311 · 7 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ -5 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3468,91730] |
[a1,a2,a3,a4,a6] |
Generators |
[35:115:1] |
Generators of the group modulo torsion |
j |
-98867482624/20696067 |
j-invariant |
L |
9.0586032934024 |
L(r)(E,1)/r! |
Ω |
0.8430462169498 |
Real period |
R |
1.790847505875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736fd1 1449c1 30912b1 |
Quadratic twists by: -4 8 -3 |