Atkin-Lehner |
3- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
91575bi |
Isogeny class |
Conductor |
91575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
41682135515625 = 311 · 56 · 11 · 372 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 11- -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15305,663072] |
[a1,a2,a3,a4,a6] |
Generators |
[862:3615:8] |
Generators of the group modulo torsion |
j |
34805634625/3659337 |
j-invariant |
L |
5.0828492502515 |
L(r)(E,1)/r! |
Ω |
0.62425241604451 |
Real period |
R |
2.0355745208555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990572 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30525c1 3663d1 |
Quadratic twists by: -3 5 |