Atkin-Lehner |
2- 3+ 7+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30954r |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
116139408 = 24 · 3 · 72 · 11 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-123,-135] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:24:1] |
Generators of the group modulo torsion |
j |
205901592625/116139408 |
j-invariant |
L |
6.8011895120896 |
L(r)(E,1)/r! |
Ω |
1.5440797066187 |
Real period |
R |
1.1011720254687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92862g1 |
Quadratic twists by: -3 |