Atkin-Lehner |
2+ 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736bn |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
-52359478595730432 = -1 · 210 · 36 · 78 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 2 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-303084,-65160072] |
[a1,a2,a3,a4,a6] |
Generators |
[47255568131:1215966447269:46268279] |
Generators of the group modulo torsion |
j |
-4124632486295808/70140333767 |
j-invariant |
L |
7.9183452386553 |
L(r)(E,1)/r! |
Ω |
0.10163431954244 |
Real period |
R |
12.985025259026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736ez1 11592d1 10304b1 |
Quadratic twists by: -4 8 -3 |