Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34680z |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
364 |
Product of Tamagawa factors cp |
deg |
2515968 |
Modular degree for the optimal curve |
Δ |
-1.7527552301777E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -3 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2209020,-6242345775] |
[a1,a2,a3,a4,a6] |
Generators |
[2340:108375:1] |
Generators of the group modulo torsion |
j |
3086803246205696/45384521484375 |
j-invariant |
L |
8.438115796165 |
L(r)(E,1)/r! |
Ω |
0.06016852085143 |
Real period |
R |
0.38527848906063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69360t1 104040cg1 2040b1 |
Quadratic twists by: -4 -3 17 |