Atkin-Lehner |
3+ 7- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
92463d |
Isogeny class |
Conductor |
92463 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-33009291 = -1 · 32 · 73 · 172 · 37 |
Discriminant |
Eigenvalues |
0 3+ -3 7- -5 1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-107,545] |
[a1,a2,a3,a4,a6] |
Generators |
[33:178:1] [5:-11:1] |
Generators of the group modulo torsion |
j |
-398688256/96237 |
j-invariant |
L |
5.819859647612 |
L(r)(E,1)/r! |
Ω |
1.9780738048409 |
Real period |
R |
0.36777316096893 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001585 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92463j1 |
Quadratic twists by: -7 |