Atkin-Lehner |
3- 7- 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
74907h |
Isogeny class |
Conductor |
74907 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
426240 |
Modular degree for the optimal curve |
Δ |
-24488788276827 = -1 · 36 · 75 · 29 · 413 |
Discriminant |
Eigenvalues |
-2 3- 2 7- -4 -5 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-79329,8603248] |
[a1,a2,a3,a4,a6] |
Generators |
[481:-9041:1] [71:1824:1] |
Generators of the group modulo torsion |
j |
-75734214083817472/33592302163 |
j-invariant |
L |
6.1971081988991 |
L(r)(E,1)/r! |
Ω |
0.6623050310473 |
Real period |
R |
0.31189597483781 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8323d1 |
Quadratic twists by: -3 |