Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37485s |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-57409697244375 = -1 · 38 · 54 · 77 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6165,311800] |
[a1,a2,a3,a4,a6] |
Generators |
[296:5144:1] |
Generators of the group modulo torsion |
j |
302111711/669375 |
j-invariant |
L |
6.1929455694135 |
L(r)(E,1)/r! |
Ω |
0.4351944650119 |
Real period |
R |
1.7787868606175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12495h1 5355q1 |
Quadratic twists by: -3 -7 |