Atkin-Lehner |
2- 3+ 5+ 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
34410l |
Isogeny class |
Conductor |
34410 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
9225216 |
Modular degree for the optimal curve |
Δ |
-3.1634701388936E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 0 -3 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6109914,85378517283] |
[a1,a2,a3,a4,a6] |
j |
25224873665558905103601311/3163470138893599211520000 |
j-invariant |
L |
4.4154708756517 |
L(r)(E,1)/r! |
Ω |
0.061325984383935 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103230l1 |
Quadratic twists by: -3 |