Atkin-Lehner |
2+ 3- 5- 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
34410h |
Isogeny class |
Conductor |
34410 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
131040 |
Modular degree for the optimal curve |
Δ |
-325931520 = -1 · 29 · 3 · 5 · 31 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 1 4 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-123398,16674008] |
[a1,a2,a3,a4,a6] |
j |
-207798790492329940441/325931520 |
j-invariant |
L |
2.2038750650285 |
L(r)(E,1)/r! |
Ω |
1.1019375325094 |
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 |
103230v1 |
Quadratic twists by: -3 |